Worksheet on Quadrants

We know there are four quadrants in a regular cartesian co-ordinate; in math worksheet on quadrants we will practice the basic questions on quadrants.

Recall the process to solve the questions given in the worksheet on quadrants;
x, y are real and positive then the point

Having co-ordinate (x, y) lies in the first quadrant, 

Having co-ordinate (-x, y) lies in the second quadrant, 

Having co-ordinate (-x, -y) lies in the third quadrant, 

Having co-ordinate (x, -y) lies in the fourth quadrant. 

1. In which quadrant do the following points lie? 

(i) (2, - 7) 

(ii) (√5 - 3, - 2) 

(iii) (√2 - 1, 3 -√3) 

(Iv) (- 5, √7- 2) 

(v) (x, y). 

2. Points Q, R and S lie on 1st, 2nd, 3rd and 4th quadrants respectively. If dm Minima of each of them from the co-ordinate axes be 6 and 4 units irspritively, write down their co-ordinates. 

3. What do you mean by rectangular Cartesian co-ordinates of a point? What do you know about co-ordinates of points lying on x-axis and y-axis? Where do the following points lie?

(i) (4, 0) (ii) (0, - 6) (iii) (0, 3) (iv) (- 5, 0).

4. The sides of the rectangle ABCD are parallel to the co-ordinate axes. If the co-ordinates of the vertices B and D be (7, 3) and ( 2, 6) respectively, find the co-ordinates of the vertices A and C.


Answers for the worksheet on quadrants are given below to check the exact answers of the above questions.

Answers:

1. (i) 4th quadrant

(ii) 3rd quadrant

(iii) 1st quadrant

(iv) 2nd quadrant

(v) 1st quadrant if x and y are both positive; 2nd quadrant if x is negative and y positive; 3rd quadrant if x and y are both negative ;4th quadrant if x is positive and y negative

2. P(4, 6), Q (-4, 6) ,R (-4, -6),S (4, -6);

3. (i) on positive x-axis

(ii) on positive y-axis

(iii) on positive y-axis

(iv) on positive x-axis;

4. A(2, 3) and C(7, 6);

● Co-ordinate Geometry 

• What is Co-ordinate Geometry?
  
• Rectangular Cartesian Co-ordinates
  
• Polar Co-ordinates
  
• Relation between Cartesian and Polar Co-Ordinates
  
• Distance between Two given Points
  
• Distance between Two Points in Polar Co-ordinates
  
• Division of Line Segment: Internal & External
  
• Area of the Triangle Formed by Three co-ordinate Points
  
• Condition of Collinearity of Three Points
  
• Medians of a Triangle are Concurrent
  
• Apollonius' Theorem
  
• Quadrilateral form a Parallelogram 
  
• Problems on Distance Between Two Points 
  
• Area of a Triangle Given 3 Points
  
• Worksheet on Quadrants
  
• Worksheet on Rectangular – Polar Conversion
  
• Worksheet on Line-Segment Joining the Points
  
• Worksheet on Distance Between Two Points
  
• Worksheet on Distance Between the Polar Co-ordinates
  
• Worksheet on Finding Mid-Point
  
• Worksheet on Division of Line-Segment
  
• Worksheet on Centroid of a Triangle
  
• Worksheet on Area of Co-ordinate Triangle
  
• Worksheet on Collinear Triangle
  
• Worksheet on Area of Polygon
  
• Worksheet on Cartesian Triangle

11 and 12 Grade Math 

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