**MCQs Questions for Class 10 Maths Chapter 7 Coordinate Geometry**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **20** **MCQs questions for class 10 maths chapter 7 coordinate geometry**.

**MCQs Questions
for Class 10 Maths Chapter 7 Coordinate Geometry**

**1.** The distance
between the point P(1, 4) and Q(4, 0) is

(A) 4

(B) 5

(C) 6

(D) 3√3

**Answer: B**

**2.** If the distance between the points (2, –2) and
(–1, x) is 5, one of the values of x is

(A) –2

(B) 2

(C) –1

(D) 1

**Answer: B**

**3. **The distance of
the point P(-6, 8) from the origin is

(A) 8

(B) 2√7

(C) 10

(D)

**Answer: C**

**4.** The mid-point of the line segment joining the
points A (–2, 8) and B (– 6, – 4) is

(A) (– 4, – 6)

(B) (2, 6)

(C) (– 4, 2)

(D) (4, 2)

**Answer: C**

**5.** The points
(-5, 1), (1, p) and (4, -2) are collinear if the value of p is

(A) 3

(B) 2

(C) 1

(D) -1

**Answer: D**

**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

**Answer: B**

**7.** The points A (9, 0), B (9, 6), C (–9, 6) and D
(–9, 0) are the vertices of a

(A) Square

(B) Rectangle

(C)
Rhombus

(D) Trapezium

**Answer: B**

**8.** The area of
the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is

(A) 63

(B) 35

(C) 53

(D) 36

**Answer: C**

**9. **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)

**Answer: A**

**10.** The distance of the point P (2, 3) from the
x-axis is

(A) 2

(B) 3

(C) 1

(D) 5

**Answer: B**

**11.** The line 3x +
y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in
the ratio

(A) 3 : 4

(B) 3 : 2

(C) 2 : 3

(D) 4 : 3

**Answer: A**

**12. **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

**Answer: B**

**13.** If P (a/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

**Answer: B**

**14.** If the
distance between the points (x, -1) and (3, 2) is 5, then the value of x is

(A) -7 or -1

(B) -7 or 1

(C) 7 or 1

(D) 7 or -1

**Answer: D**

**15. **The
perpendicular bisector of the line segment joining the points A(1, 5) and B(4,
6) cuts the y-axis at

(A) (0, 13)

(B) (0, -13)

(C) (0, 12)

(D) (13, 0

**Answer: A**

**16.** One of the two points of trisection of the line
segment joining the points A (7, – 2) and B (1, – 5) which divides the line in
the ratio 1 : 2 are:

(A) (5, –3)

(B) (5, 3)

(C) (–5, –3)

(D) (13, 0)

**Answer: A**

**17.** The
coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12)
and (8, 0) is

(A) (4, 6)

(B) (16, 6)

(C) (8, 6)

(D) (16/3, 6)

**Answer: D**

**18. **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**

**19.** The ratio in which the point P (3/4, 5/12) divides
the line segment joining the points A (1/2, 3/2) and B (2, –5) is**:**

(A)
1:5

(B) 5:1

(C)
1:3

(D) 3:1

**Answer: A**

**20.** If the points A(1,
2), B(0, 0) and C(a, b) are collinear, then

(A) 2a = b

(B) a = -b

(C) a = 2b

(D) a = b

**Answer: A**