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May 25, 2016

Binary Subtraction |Rules of Subtract of Binary Numbers| Binary Decimal Subtract

Binary subtraction is also similar to that of decimal subtraction with the difference that when 1 is subtracted from 0, it is necessary to borrow 1 from the next higher order

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May 24, 2016

Dividing into a Given Ratio | Dividing a Quantity in a given Ratio

We will learn how to divide a number into two parts in a given ratio (i.e., dividing into a given ratio). Let the number be M. It is to be divided into two parts in the ratio a : b. The two parts

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May 23, 2016

Comparing Ratios | Comparison of Ratios|Which of the following ratios is grater?

In comparing ratios we will learn how to arrange the ratios. How to Compare Ratios? To compare two ratios, follow these steps: Step I: Make the second term of both the ratios equal.

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May 22, 2016

Types of Ratios |Compounded Ratio|Duplicate Ratio|Inverse Ratio|Triplicate Ratio

We will discuss here about the different types of ratios. 1. Compounded ratio: For two or more ratios, if we take antecedent as product of antecedents of the ratios and consequent as product

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May 20, 2016

Important Properties of Ratios |Ratio in its Lowest Terms|Ratio is a Pure Number

Some of the important properties of ratios are discussed here. 1. Ratio a/b has no unit and can be written as a : b (read as a is to b). 2. The quantities a and b are called terms of the ratio.

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May 19, 2016

Basic Concept of Ratios | Definition of Ratio | Antecedent : Consequent

We will discuss here about the basic concept of ratios. Definition: The ratio of two like quantities a and b is the fraction a/b, which indicates how many times b is the quantity a. In other words

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May 18, 2016

Worksheet on Solution of a Linear Inequation in One Variable | Inequalities

Practice the questions given in the worksheet on solution of a linear inequation in one variable 1. If x ∈ N, find the solution set of the linear inequations. (i) 5x + 3 ≤ 2x + 18

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May 17, 2016

Worksheet on Laws of Inequality | Properties of Inequalitie | Inequations

Practice the questions given in the worksheet on laws of inequality. 1. State true or false (i) x < - y ⟹ -x > y (ii) -5x ≥ 15 ⟹ x ≥ -3 (iii) 2x ≤ -7 ⟹ 2x/-4 ≥ -7/-4

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May 16, 2016

Problems on Linear Inequation | Practice with Solving Inequalities

Here we will solve various types of problems on linear inequation. By applying the law of inequality, we can easily solve simple inequations. This can be seen in the following examples

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May 15, 2016

Difference Between Equation and Inequation | Inequation vs Equation

What are the basic differences between equation and inequation? We have seen that equations are expressed by sign of equality and inequations are expressed by sign of inequality.

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May 13, 2016

Replacement Set and Solution Set in Set Notation | Set of Whole Numbers

We will discuss here about the replacement set and solution set in set notation. Replacement Set: The set, from which the values of the variable which involved in the inequation, are chosen, is known

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May 12, 2016

Problems on Law of Inequality | Solving Inequalities | Inequality Problem

Here we will solve various types of problems on law of inequality. Mark the statement true or false. Justify your answer. (i) If m + 6 > 15 then m - 6 > 3 (ii) If 4k > - 24 then - k > 6. Solution:

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May 11, 2016

Solving a Linear Inequation Algebraically | Solving Inequalities | Inequalities

Method of Solving a linear inequation algebraically ax + b >, <, ≥, ≤ cx + d To solve a given linear inequation means to find the value or values of the variable used in it.

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May 10, 2016

Laws of Inequality | Properties of Inequalities |Law and Inequality |Inequations

We will discuss here about the laws of inequality. I. 1. If m > n then (i) m + k > n + k (ii) m – k > n – k, where k is any positive or negative number.

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May 09, 2016

Linear Inequation in One Variable | Solving Linear Inequations | Inequalities

We will discuss here about the linear inequation in one variable. The mathematical statement which says that one quantity is not equal to another quantity is called an inequation.

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May 08, 2016

Worksheet on Share and Dividend | Dividend on the Shares | Shares at a Premium

Practice the questions given in the worksheet on share and dividend. Michael has a choice to invest in 10-dollar shares of two firms at $ 13 or at $ 16. If the first firm pays 5% dividend and the

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May 04, 2016

Problems on Shares and Dividends | Dividend, Rate of Dividend | Value of Shares

We will discuss here some of the problems on shares and dividends. Michael buys shares of face value $ 50 of a company which pays 10 % dividend. At what price did he buy each share from the

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May 04, 2016

Problems on Income and Return from Shares | Shares and Dividends

We will discuss here some of the problems on income and return from shares. Matthew invested $ 67200 in $ 100 shares which are quoted at $ 120. Calculate the income if 12% dividend is declared

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May 04, 2016

Calculation of Income, Return and Number of Shares | Share and Dividend

We will discuss here about the calculation of income, return and number of shares. Computation of income and return If the number of shares held by a shareholder = n, rate of dividend = r% per annum

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May 04, 2016

Dividend and Rate of Dividend | What is the Dividend Rate? | Dividend Rate

We will discuss here about the dividend and rate of dividend. The part of the annual profit of a company distributed among its shareholders is called dividend.

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May 04, 2016

Share and Value of Shares | Face Value of Shares | Market Value of Shares

We will discuss here about the share and value of shares. To establish a big business organisations (company or industry), a large number of money is required. It is sometime not possible for

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May 04, 2016

Worksheet on Income and Return from Shares | The Rate of Dividend

Practice the questions given in the worksheet on income and return from shares. William bought $ 40 shares at a premium of 40%. Find the income, if William invests $ 14000 in these shares and receives

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May 03, 2016

Worksheet on Basic Concept on Shares and Dividends | Market Price of One Share

Practice the questions given in the worksheet on basic concept on shares and dividends. 1. How much money will be required to buy 200, $ 25 shares at a premium of $ 2?

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Apr 25, 2016

Problems on Condition of Perpendicularity | Solved Examples on Perpendicularity

Problems on condition of perpendicularity Here we will solve various types of problems on condition of perpendicularity of two lines. 1. Prove that the lines 5x + 4y = 9 and 4x – 5y – 1 = 0

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Apr 24, 2016

Worksheet on Equation of a Straight Line | Equation of Line Worksheet

Practice the questions given in the worksheet on equation of a straight line. 1. Determine the equation of the straight line whose gradient is (-3/2) and which intersects the y-axis

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Apr 22, 2016

Worksheet on Collinearity of 3 Points | Collinearity of Points

Practice the questions given in the worksheet on collinearity of three points using the equation of a line.1. Find the equation of the straight line passing through the points (3, - 4) and (1, 2)

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Apr 21, 2016

Worksheet on Point-slope Form | Point-slope Form (Practice Worksheet)

Practice the questions given in the worksheet on point-slope form of the straight line. If the slope = m and the line passes through the point (x1, y1), the equation of the lien is y - y1 = m(x - x1)

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Apr 20, 2016

Worksheet on Two-point Form | Two Point Form Worksheet | Slope From Two Points

Practice the questions given in the worksheet on two-point form of the straight line. If a straight line passes through the points (x1, y1) and (x2, y2) then its equation is y - y1 =

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Apr 17, 2016

Worksheet on Slope and Intercepts |Slopes & Inclinations of the Straight Lines

Practice the questions given in the worksheet on slope and intercepts of the straight line. 1. Write the slope of the straight line whose inclination is (i) 30° (ii) 60° (iii) 45° (iv) 150° (v) 135°

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Apr 16, 2016

Worksheet on Slope Intercept Form | Slope-intercept Form Worksheet

Practice the questions given in the worksheet on slope intercept form of a straight line. 1. Find the equation of the line (i) whose slope is 2 and which cuts off an intercept 2 on the y-axis

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Apr 15, 2016

Condition of Parallelism | What Is The Condition Of Parallelism Of Two Lines?

We will discuss here about the condition of parallelism. If two lines are parallel then they are inclined at the same angle θ with the positive direction of the x-axis. So, their slopes are equal.

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Apr 13, 2016

Condition of Perpendicularity of Two Straight Lines | Perpendicularity Condition

We will discuss here about the condition of perpendicularity of two straight lines. Let the lines AB and CD be perpendicular to each other. If the inclination of AB with the

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Apr 12, 2016

Slope and Y-intercept of a Line | Calculating Slope and Y Intercept | Examples

We will learn how to find the slope and y-intercept of a line. Consider the following steps to find the slope and y-intercept of a given line: Step I: Convert the given equation of the line in the

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Apr 11, 2016

Equally Inclined Lines | Equally Inclined Lines Mean | Solved Example

Equally inclined lines mean: the lines which make equal angles with both the co-ordinate axes.

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Apr 09, 2016

Two-point Form of a Line |Two-point Form y - y1 = [(y1 - y2)/(x 1 - x2)](x - x1)

We will discuss here about the method of finding the equation of a straight line in the two point form. To find the equation of a straight line in the two point form, Let AB be a line passing

Continue reading "Two-point Form of a Line |Two-point Form y - y1 = [(y1 - y2)/(x 1 - x2)](x - x1)"

Apr 08, 2016

Point-slope Form of a Line |Point-slope Form y - y1 = m(x - x1)|Point-slope Form

We will discuss here about the method of finding the point-slope form of a line. To find the equation of a straight line passing through a fixed point and having a given slope, let AB be the line

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Apr 05, 2016

Slope-intercept Form |Slope-Intercept Form y=mx + b|Line in slope-intercept form

We will discuss here about the method of finding the equation of a straight line in the slope-intercept form. Let the straight line AB intersect x-axis at C and y-intersect at D.

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Apr 04, 2016

Equation of a Straight Line | Meaning of 'Equation of a Straight Line'

We will discuss here about the meaning of equation of a straight line. Let the straight line be PQ which passes through the origin (0, 0) and inclined at 45° with the positive direction of the x-axis.

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Apr 03, 2016

Slope of the Line Joining Two Points | Slope of a Line from Two Points

We will discuss here about the slope of the line joining two points. To find the slope of a non-vertical straight line passing through two given fixed points: Let P(x1, y1) and Q (x2, y2) be the two

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Mar 31, 2016

Intercepts Made by a Straight Line on Axes | Convention for signs of intercepts

We will discuss here about the intercepts made by a straight line on axes or intercepts of a line made on the axes of reference. Let a straight line ‘MN’ does not passes through the origin

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Mar 30, 2016

Slope of a Line | Slope of a Straight Line | Concept of Slope | Find the Slope

We will discuss here about the slope of a line or gradient of a line. If θ (≠ 90°) is the inclination of a straight line, then tan θ is called its slope or gradient. The slope of any inclined

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Mar 29, 2016

Inclination of a Line | Angle of Inclination | Inclination of a Straight Line

The inclination of a line is the angle θ which the part of the line (above the x-axis) makes with x-axis. If measured in anti-clockwise direction then the inclination θ is positive and if measured

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Mar 28, 2016

Worksheet on Section Formula | Point of Trisection of the Line Segment

Practice the questions given in the worksheet on section formula. To find the co-ordinates of a point which divides the line segment joining two given points in a given ratio.

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Mar 27, 2016

Worksheet on Finding the Centroid of a Triangle | Centroid of a Triangle

Practice the questions given in the worksheet on finding the centroid of a triangle. We know the centroid of a triangle is the point of intersection of its medians and it divides each median in

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Mar 26, 2016

Centroid of a Triangle | How to Find the Centroid of a Triangle? | Examples

The Centroid of a triangle is the point of intersection of the medians of a triangle. To find the centroid of a triangle Let A (x1, y1), B (x2, y2) and C (x3, y3) are the three vertices of the ∆ABC.

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Mar 24, 2016

Midpoint Formula | How Do You Find the Midpoint Between Two Coordinates?

We will discuss here how to use the midpoint formula to find the middle point of a line segment joining the two co-ordinate points. The coordinates of the midpoint M of a line segment AB

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Mar 22, 2016

Section Formula | Section of a Line Segment | Definition of Section Formula

We will proof the definition of section formula. Section of a line segment Let AB be a line segment joining the points A and B. Let P be any point on the line segment such that AP : PB = λ : 1

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Mar 21, 2016

Worksheet on Collinearity of Three Points |Condition of Collinearity of 3 Points

Practice the questions given in the worksheet on collinearity of three points. We know that in general, P, Q and R are collinear if the sum of the lengths of any two line segments among PQ, QR and RP

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Mar 20, 2016

Distance Formula in Geometry | Practice with Distance Formula | Distance Formula

We will discuss here how to use the distance formula in geometry. 1. Show that the points A (8, 3), B (0, 9) and C (14, 11) are the vertices of an isosceles right-angled triangle. Solution:

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