Check the below NCERT MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Coordinate Geometry Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry for better exam preparation and score more marks.

## Coordinate Geometry Class 10 MCQs Questions with Answers

Question 1.
The distance of the point P(2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5

Question 2.
The distance between the points A(0, 6) and B(0, -2) is
(a) 6
(b) 8
(c) 4
(d) 2

Question 3.
The distance of the point P(-6, 8) from the origin is
(a) 8
(b) 2√7
(c) 10
(d) 6

Question 4.
The distance between the points (0, 5) and (-5, 0) is
(a) 5
(b) 5√2
(c) 2√5
(d) 10

Question 5.
AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is
(a) 5
(b) 3
(c) $$\sqrt{34}$$
(d) 4

Answer: (c) $$\sqrt{34}$$

Question 6.
The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
(a) 5
(b) 12
(c) 11
(d) 7 + √5

Question 7.
The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is
(a) 14
(b) 28
(c) 8
(d) 6

Question 8.
The points (-4, 0), (4, 0), (0, 3) are the vertices of a
(а) Right triangle
(b) Isosceles triangle
(c) Equilateral triangle
(d) Scalene triangle

Question 9.
The point which divides the lines segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the

Question 10.
The point which lies on the perpendicular bisector of the line segment joining the points A(-2, -5) and B(2, 5) is
(a) (0, 0)
(b) (0, 2)
(c) (2, 0)
(d) (-2, 0)

Question 11.
The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is
(a) (0, 1)
(b) (0, -1)
(c) (-1, 0)
(d)(1, 0)

Question 12.
If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then
(a) AP = $$\frac{1}{3}$$ AB
(b) AP = PB
(c) PB = $$\frac{1}{3}$$ AB
(d) AP = $$\frac{1}{2}$$ AB

Answer: (d) AP = $$\frac{1}{2}$$ AB

Question 13.
If P ($$\frac{α}{3}$$, 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of‘a’ is
(a) -4
(b) -12
(c) 12
(d) -6

Question 14.
The perpendicular bisector of the line segment joining the points A(l, 5) and B(4, 6) cuts the y-axis at
(a) (0, 13)
(b) (0, -13)
(c) (0, 12)
(d) (13, 0)

Question 15.
The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure. (a) (x, y)
(b) (y, x)
(c) ($$\frac{x}{2}$$, $$\frac{y}{2}$$)
(d) ($$\frac{y}{2}$$, $$\frac{x}{2}$$)

Question 16.
A circle drawn with origin as the centre passes through ($$\frac{13}{2}$$, 0). The point which does not lie in the interior of the circle is
(a) (-$$\frac{3}{4}$$, 1)
(b) (2, $$\frac{7}{3}$$)
(c) (5, –$$\frac{1}{2}$$)
(d) (-6, $$\frac{5}{2}$$)

Answer: (d) (-6, $$\frac{5}{2}$$)

Question 17.
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively
(a) (0, -5) and (2, 0)
(b) (0, 10) and (-4, 0)
(c) (0, 4) and (-10, 0)
(d) (0, -10) and (4, 0)

Answer: (d) (0, -10) and (4, 0)

Question 18.
The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is
(a) (a + b + c)²
(b) 0
(c) a + b + c
(d) abc

Question 19.
If the distance between the points (4, P) and (1, 0) is 5, then the value of P is
(a) 4 only
(b) ± 4
(c) -4 only
(d) 0

Question 20.
If the points A(1, 2), O(0, 0), C(a, b) are collinear, then
(a) a = b
(b) a = 2b
(c) 2a = b
(d) a = -b