SSC Coordinate Geometry Questions with Answers

Coordinate Geometry

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

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

Question 2

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

Question 3

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 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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 9

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 10

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 11

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

Question 12

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

Question 13

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 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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 19

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

Question 20

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 21

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

Question 22

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

Question 23

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 24

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

Question 25

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

Question 26

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

Question 27

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

Question 28

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

Question 29

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

Question 30

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

Question 31

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 32

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?

Question 33

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

Question 34

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 35

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

Question 36

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

Question 37

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

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

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

Question 40

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

Question 41

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

Question 42

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

Question 43

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 44

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

Question 45

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

Question 46

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

Question 47

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

Question 48

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 49

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

Question 50

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

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