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

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

Question 2

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

Question 3

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

Question 4

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 5

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 6

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

Question 7

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

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

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

Question 10

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

Question 11

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 12

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 13

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

Question 14

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 15

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

Question 16

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

Question 17

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 18

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

Question 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

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

Question 24

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 25

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

Question 26

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

Question 27

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 28

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

Question 29

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

Question 30

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

Question 31

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

Question 32

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

Question 33

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 34

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

Question 35

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 36

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

Question 37

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

Question 38

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

Question 39

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 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

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

Question 44

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 45

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

Question 46

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

Question 47

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

Question 48

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

Question 49

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 50

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

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