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

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 2

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 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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 8

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 9

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 10

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

Question 11

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

Question 12

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

Question 13

What is the equation of the line whose y¬≠intercept is ¬≠3/4 and making an angle of 45¬į with the positive x¬≠axis?

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Question 21

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 22

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

Question 23

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

Question 24

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 25

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

Question 26

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 27

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

Question 28

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

Question 29

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

Question 30

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 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,-6) and (4,0)?

Question 33

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

Question 34

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 35

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

Question 36

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 37

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 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

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

Question 40

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

Question 41

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 42

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

Question 43

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

Question 44

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

Question 45

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

Question 46

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

Question 47

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

Question 48

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

Question 49

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

Question 50

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

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