# Math Blog

### 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 $50 of a company which pays 10 % dividend. At what price did he buy each share from the Continue reading "Problems on Shares and Dividends | Dividend, Rate of Dividend | Value of Shares" ###### May 04, 2016 ### Problems on Income and Return from Shares | Shares and Dividends We will discuss here some of the problems on income and return from shares. Matthew invested$ 67200 in $100 shares which are quoted at$ 120. Calculate the income if 12% dividend is declared

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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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

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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### Worksheet on Distance Formula | Distance Formula Worksheets

Practice the questions given in the worksheet on distance formula. 1. Find the point on the x-axis which is equidistance from the point (5, 4) and (-2, 3).

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### Distance of a Point from the Origin | Distance between Origin and Point

We will discuss here how to find the distance of a point from the origin. The distance of a point A (x, y) from the origin O (0, 0) is given by OA = $$\sqrt{(x - 0)^{2} + (y - 0)^{2}}$$ i.e., OP

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### Problems on Distance Formula | Practice with Distance Formula | Math Only Math

We will discuss here how to solve the problems on distance formula. The distance between two points A (x1, y1) and B (x2, y2) is given by the formula AB = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

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### Distance Properties in some Geometrical Figures | Distance of any Point

We will discuss here about the distance properties in some geometrical figures. 1. A triangle ABC is an isosceles triangle if AB = AC or AB = BC or AC = BC. 2. A triangle ABC is an

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### Conditions of Collinearity of Three Points | Distance Formula | Solved examples

We will discuss here how to prove the conditions of collinearity of three points. Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.

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### Distance Formula | Distance Between 2 Points | Distance Formula Problems

The coordinates of two points in a plain fix the positions of the positions of the points in the plane and also the distance between them. The distance and the coordinates of the two points

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### Reflection in Lines Parallel to Axes | Reflection in Line

The coordinates of the points P and Q are (5, -4) and (-2, 10) respectively. (i) Find the point P’ and Q’onto which the points P and Q map on reflection in the line AB which is parallel to the x-axis

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### Problems on Reflection in the x-axis or y-axis | Examples on Reflection

We will discuss here about some of the examples on reflection in the x-axis or y-axis. 3. The point P whose coordinates are (9, 11) is mapped onto P’ when reflected in the x-axis

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### Invariant Points for Reflection in a Line | Point Reflection | Solved Examples

If the point P is on the line AB then clearly its image in AB is P itself. We say P is an invariant point for the axis of reflection AB. Thus, all the points lying on a line are invariant points

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### Reflection of a Point in the x-axis | Reflection in a Line | Reflections in Math

We will discuss here about reflection of a point in the x-axis. Let P be a point whose coordinates are (x, y). Let the image of P be P’ in the axis. Clearly, P’ will be similarly situated on that

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### Reflection of a Point in the Origin | Rules on reflection in the origin

We will discuss here how to find the reflection of a point in the origin. Let M (a, b) be any point in the coordinate plane and O be the origin. Now join M and O, and produce it to the point

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### Worksheet on Reflection in the Origin | Reflection of a Point

Practice the questions given in the worksheet on reflection in the origin. The reflection of the point P(x, y) in the origin is the point P’(-x, -y). For example: (i) the reflection of the

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### Reflection of a Point in a Line Parallel to the y-axis | Parallel to the y-axis

We will discuss here about reflection of a point in a line parallel to the y-axis. Let P be a point whose coordinates are (x, y), AB be a line parallel the x-axis and the distance of AB from the

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### Reflection of a Point in a Line Parallel to the x-axis | Parallel to the x-axis

We will discuss here about reflection of a point in a line parallel to the x-axis. Let P be a point whose coordinates are (x, y), AB be a line parallel the x-axis and the distance of AB from the

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### Reflection of a Point in the y-axis | Reflection in a Line | Reflections in Math

We will discuss here about reflection of a point in the y-axis. Let P be a point whose coordinates are (x, y). Let the image of P be P’ in the y-axis. Clearly, P’ will be similarly situated

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### Reflection of a Point in a Line | Reflection in a Line | Point Reflection

We will discuss here about reflection of a point in a line. The reflection of the point (object) P in the line AB is the point P’ such that (i) PP’ ⊥ AB, and (ii) AB bisect PP’, i.e., PQ = QP’

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