# MCQ Questions For Class 10 Coordinate Geometry

Coordinate Geometry Class 10 MCQ is one of the best strategies to prepare for the CBSE Class 10 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more MCQ on Coordinate Geometry class 10, which will help them all through their board test.

## Class 10 Coordinate Geometry MCQs Questions with Answers

Class 10 Math MCQ with answers are given here to chapter 7 Coordinate Geometry. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 10 Mathematics syllabus. By Solving these Class 10 MCQs, you will be able to analyze all of the concepts quickly in the chapter and get ready for the Class 10 Annual exam.

Learn Coordinate Geometry Class 10 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 10 Mathematics Quadratic Equation MCQ with answers given below.

Question 1. If the vertices of a triangle have integral coordinates, then the triangle cannot be
(a) an equilateral triangle
(b) a right triangle
(c) an isosceles triangle
(d) All the above
(e) None of these

Ans.

B

Question 2. The point which lies on the perpendicular bisector of the line segmen joining the points P (- 3, – 5) and Q (3, 5) is
(a) (-3, 4)
(b) (2, -5)
(c) (0, 0)
(d) (-1, 4)
(e) None of these

Ans.

C

Question 3. The three medians of a Δ PQR intersect at a point S. If the medians are PM, QN & RT and the area of
Δ PQR is 90 cm2 , then the area of the quadrilateral MSRN is ________
(a) 45 cm2 (b) 30 cm2
(c) 15 cm2 (d) 60 cm2
(e) None of these

Ans.

B

Question 4. The points (6, 1), (8, 2), (9, 4) and (7, 3) are the vertices of a
(a) trapezium
(b) rectangle
(c) square
(d) rhombus
(e) None of these

Ans.

D

Question 5.The ratio in which the line 2x + 3y – 9 = 0 the points (2, 3) and (4, 7) is _________
(a) 3 : 1
(b) -5 : 4
(c) -1 : 5
(d) 2 : 5
(e) None of these

Ans.

C

Question 6. The line segment joining the points (3, – 2) and (4, – 6) is divided by the line 2x + 3y – 11 = 0 in the
ratio m: n externally at point (a, b). Which among the following is true for the given information?
(a) m = 11
(b) n = 21
(c) a – b = 89/10
(d) All the above
(e) None of these

Ans.

D

Question 7. The radius of the circle which passes through the origin (0, 6) and (6, 0) is
(a) 12cm
(b) 6 cm
(c) 3√2 cm
(d) 4√2
(e) None of these

Ans.

C

Question 8. If A (7/3, m/5) is the midpoint of the line segment joining the points B (3, -2) and C (4, 6), then the value of m is _______
(a) 4
(b) 10
(c) -4
(d) -8
(e) None of these

Ans.

B

Question 9. The area of a triangle formed by the line 4x – 3y + 12 = 0 with the coordinate axes is __________
(a) 3 sq unit
(b) 4 sq unit
(c) 5 sq unit
(d) 6 sq unit
(e) None of these

Ans.

A

Question. 10 The orthecentre of the triangle formed by the lines , 5x – 8y = 10, 16x + 10y = 13 and y-axis, is _____

Ans.

A

Question 11. Find the orthecentre of the triangle ABC having its vertices as A (- 2, – 3), B (2, 1) and C (5, – 2).
(a) ( -3, 5)
(b) ( -4, 6)
(c) (2, 1)
(d) (0, 0)
(e) None of these

Ans.

C

Question 12. The equation of a line, which passes through (3, 4) and the product of whose intercepts on the
coordinate axes is 48, is _________
(a) 6x + 9y = 48
(b) 8x + 9y = 48
(c) 4x + 3y = 24
(d) 3x + 4y = 24
(e) None of these

Ans.

C

Question 13. If the mid point of the line joining (3, 4) and (k, 7) is (x, y) and 2x + 2y + 1 = 0. Find the value of k.
(a) 10
(b) –15
(c) 15
(d) –10

B

Question 14. Which of the following is / are correct? Four points will form :
(a) a rectangle, if opposite sides and diagonals are not equal.
(b) a parallelogram, if opposite sides are not equal.
(c) a square, if all the four sides and diagonals are equal.
(d) a right angle triangle, if sum of squares of any two sides is equal to square of third largest side.

A

Question 15. If the point A (-3, m) divides the line segment joining the points B (-8, -5) and C (1, – 4) in the ratio a : b, then m equals to
(a) -5/3
(b) 40/3
(c) -40/9
(d) 30/7
(e) None of these

Ans.

C

Question 16. If the points (a, 0), (0, b) and (1, 1) are collinear then which of the following is true :
(a) 1/a + 1/b =2
(b) 1/a – 1/b = 1
(c) 1/a – 1/b = 2
(d) 1/a + 1/b =1

D

Question 17. P is a point on the graph of y = 5x + 3. The coordinates of a point Q are (3, –2). If M is the mid point of PQ, then M must lie on the line represented by
(a) y = 5x + 1
(b) y = 5x – 7
(c) y = 5/ 2 x – 7/ 2
(d) y = 5/ 2 x + 1/ 2

B

Question 18. P, Q, R are three collinear points. The coordinates of Pand R are (3, 4) and (11, 10) respectively and PQ is equal  to 2.5 units. Coordinates of Q are
(a) (5, 11/2)
(b) (11, 5/2)
(c) (5, –11/2)
(d) (–5, 11/2)

A

Question 19. If P (x , y) is any point on the line joining the points A (a, 0) and B (0, b), then
(a) x/b+ y/a = 1
(b) x/a + y/b= 1
(c) x/a+ y/b = 1
(d) x/b + y/a = 1

C

Question 20. If the point P(6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is
(a) 4
(b) 3
(c) 2
(d) 1

D

Question 21. The point which divides the line joining the points A (1, 2) and B(–1, 1) internally in the ratio 1 : 2 is
(a) (-1/3,5/3)
(b) (1/3,5/3)
(c) (–1, 5)
(d) (1, 5)

B

Question 22. C is the mid-point of PQ, if P is (4, x), C is (y, –1) and Q is (–2, 4), then x and y respectively are
(a) – 6 and 1
(b) – 6 and 2
(c) 6 and – 1
(d) 6 and – 2

A

Question 23. Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (–2, 1) is
(a) 3 : 5
(b) 4 : 6
(c) 4 : 9
(d) None of these

C

Question 24. The point on the X-axis which is equidistant from the points A(–2, 3) and B(5, 4) is
(a) (0, 2)
(b) (2, 0)
(c) (3, 0)
(d) (–2, 0)

B

Whoever needs to take the CBSE Class 10 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 10 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Coordinate Geometry class 10 MCQ are ready by the subject specialists themselves.

Question 25. If P = (2, 5), Q = (x, –7) and PQ = 13, what is the value of ‘x’?
(a) 5
(b 3
(c) –3
(d) –5

C

Question 26. The points A (– 4, – 1), B (–2, – 4), C (4, 0) and D (2, 3) are the vertices of a
(a) Parallelogram
(b) Rectangle
(c) Rhombus
(d) Square

B

Question 27. The ratio in which the point (2, y) divides the join of (– 4, 3) and (6, 3) and hence the value of y is
(a) 2 : 3, y = 3
(b) 3 : 2, y = 4
(c) 3 : 2, y = 3
(d) 3 : 2, y = 2

C

Question 28. The centroid of the triangle whose vertices are (3, –7), (–8, 6) and (5, 10) is
(a) (0, 9)
(b) (0, 3)
(c) (1, 3)
(d) (3, 5)

B

Question 29. The distances of a point from the x-axis and the y-axis are 5 and 4 respectively. The coordinates of the point can be
(a) (5, 4)
(b) (5, 0)
(c) (0, 4)
(d) (4, 5)

D

Question 30. A line l passing through the origin makes an angle q with positive direction of x-axis such that sin  = 3 5 . The coordinates of the point, which lies in the fourth quadrant at a unit distance from the origin and on perpendicular to l, are
(a) ( 3 /5, 4/ 5)
(b) (4/ 5 ,3 ,5 )
(c) (3, –4)
(d) (4, –3)

A

Question 31. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0)is
(a) 5
(b) 12
(c) 11
(d) 7 +√5

B

Question 32. If the point P (p, q) is equidistant from the points A (a + b, b – a) and B (a – b, a + b), then
(a) ap = by
(b) bp = ay
(c) ap + bq = 0
(d) bp + aq = 0

B

Question 33. In what ratio is the line segment joining the points (3, 5) & (–4, 2) divided by y–axis?
(a) 3 : 2
(b) 3 : 4
(c) 2 : 3
(d) 4 : 3

B

Question 34. A circle passes through the vertices of a triangle ABC. If the vertices are A(–2, 5), B(–2, –3), C(2, –3), then the centre of the circle is
(a) (0, 0)
(b) (0, 1)
(c) (–2, 1)
(d) (0, –3)

B

Question 35. The point P on x-axis equidistant from the points A(–1, 0) and B(5, 0) is
(a) (2, 0)
(b) (0, 2)
(c) (3, 0)
(d) (2, 2)

A

Question 36. The centre of the circle passing through the ponts (6, – 6), (3, – 7) and (3, 3) is
(a) (3, 2)
(b) (–3, –2)
(c) (3, – 2)
(d) (–3, 2)

C

Question 37. The coordinates of the point which is reflection of point (–3, 5) in x-axis are
(a) (3, 5)
(b) (3, –5)
(c) (–3, –5)
(d) (–3, 5)

C

Question 38. The distance between which of the following two points is 2 units?
(a) (–2, –3) and (–2, –4)
(b) (0, 4) and (0, 6)
(c) (7, 2) and (6, 2)
(d) (4, –3) and (2, 3)

B

Question 39. The points (a, b), (a1, b1) and (a – a1, b – b1) are collinear if
(a) ab = a1b1
(b) ab1 = a1b
(c) a = b
(d) a1 = b1

B

Question 40. Which of the following points is 10 units from the origin?
(a) (– 6, 8)
(b) (– 4, 2)
(c) (– 6, 5)
(d) (6, 4)

A

Question 41. If  (a/3 ,4) is the midpoint of the line segment joining A(–6, 5) and B(–2, 3), then what is the value of ‘a’?
(a) –4
(b) –12
(c) 12
(d) –6

B

Question 42. In what ratio does the point (–2, 3) divide the line-segment joining the points (–3, 5) and (4, –9) ?
(a) 2 : 3
(b) 1 : 6
(c) 6 : 1
(d) 2 : 1

B

Question 43. Which of the following is / are not correct ?
Three points will form :
(a) an equilateral triangle, if all the three sides are equal.
(b) an isosceles triangle, if any two sides are equal.
(c) a collinear or a line, if sum of two sides is equal to third side.
(d) a rhombus, if all the four sides are equal.

D

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