An excellent collection of SSC Coordinate geometry questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Coordinate geometry for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked questions from SSC Coordinate geometry with solutions to ace the exam.

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Instructions

For the following questions answer them individually

Question 1

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4) What are the co-ordinates of point A?

Question 2

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

Question 3

Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?

Question 4

The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?

Question 5

Find equation of the perpendicular to segment joining the points A(0,4) and B(-5,9) and passing through the point P. Point P divides segment AB in the ratio 2:3.

Question 6

In what ratio is the segment joining (12,1) and (3,4) divided by the Y axis?

Question 7

What is the reflection of the point (5, 2) in the line x = -3?

Question 8

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

Question 9

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

Question 10

What is the equation of a line having a slope -1/3 and y-intercept equal to 6?

Question 11

What is the slope of the line parallel to the line passing through the points (6,3) and (2,1)?

Question 12

What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?

Question 13

Which of the following points lies on the line 5x + 4y = 2?

Question 14

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

Question 15

What is the reflection of the point (2, 3) in the line y = 4?

Question 16

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

Question 17

Point Q(b,-1) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What is the value of a and b?

Question 18

What is the equation of the line passing through the point (-1,3) and having x-intercept of 4 units?

Question 19

The point P(-4,1) divides the segment joining the points (x,0) and (0,y) in the ratio 3:2. Find x and y?

Question 20

What is the reflection of the point (4, -3) in the line y = -2?

Question 21

The line passing through (4,3) and (y,0) is parallel to the line passing through (1,2) and (3,0). Find y?

Question 22

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

Question 23

At what point does the line 3x + y = -6 intercept the x-axis?

Question 24

The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

Question 25

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

Question 26

What is the reflection of the point (5, -2) in the line x = -1?

Question 27

What is the equation of the line if its slope is -2/5 and y-intercept is 6?

Question 28

Find k, if the line 2x - 3y = 11 is perpendicular to the line 3x + ky = 4?

Question 29

What is the reflection of the point (-2, 5) in the line x = -1?

Question 30

In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

Question 31

The point Q(a,b) is first reflected in y-axis to Q1 and Q1 is reflected in x-axis to (-6,2). The co-ordinates of point Q are

Question 32

Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).

Question 33

What is the slope of the line 2x - 5y = 12?

Question 34

What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

Question 35

What will be the equation of the perpendicular bisector of segment joining the points (5,-3) and (0,2)?

Question 36

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

Question 37

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

Question 38

A line cuts the x-axis at the point (-3,0) and the y-axis at the point (0,6). What is the equation of the line?

Question 39

The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Yaxis to (4,3). The coordinates of point P are

Question 40

What is the equation of the line whose yintercept is 3/4 and making an angle of 45° with the positive xaxis?

Question 41

What is the reflection of the point (5 , -1) in the line y = 2?

Question 42

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

Question 43

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

Question 44

At what point does the line 4x - 3y = -6 intercept the y-axis?

Question 45

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

Question 46

If ax - 4y = -6 has a slope of -3/2. What is the value of a?

Question 47

What is the reflection of the point (-3, 1) in the line x = -2?

Question 48

Find equation of the perpendicular bisector of segment joining the points (2,-6) and (4,0)?

Question 49

D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ∆ABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

Question 50

The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

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