NCERT Class 10 Math Chapter 7 MCQ Question Answer – Coordinate Geometry

Class 10
Chapter  Coordinate Geometry
Subject Math
Category MCQ

Class 10 Math Chapter 7 MCQ Question Answer


1. The distance between the points (4, 2) and (-1, -1) is :
(A)  \displaystyle \sqrt{{35}}
(B)  \displaystyle \sqrt{{34}}
(C)  \displaystyle \sqrt{{32}}
(D) 6

Answer

Ans – (B)  \displaystyle \sqrt{{34}}


2. The distance between the points (-5, 7) and (-1, 3) is:
(A) 4√2
(B) 3√2
(C) 5√2
(D) √34

Answer

Ans – (A) 4√2


3. The distance of point (5, -7) from origin is :
(A)  \displaystyle \sqrt{{74}}
(B) -2
(C) 2
(D) 12

Answer

Ans – (A)  \displaystyle \sqrt{{74}}


4. The coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3: 1 internally are:
(A) (-3, 5)
(B) (4, -2)
(C) (3, 7)
(D) (7, 3)

Answer

Ans – (D) (7, 3)


5. The co-ordinates of the point which divides the join of (-1, 7) and (4,-3) in the ratio 2 : 3 is:
(A) (3, 1)
(B) (5, 2)
(C) (2, 5)
(D) (1, 3)

Answer

Ans – (D) (1, 3)


6. Coordinate of mid point of line joining two points (-1, 7) and (4, -3) are :

(A)  \displaystyle \left( {-\frac{3}{2},2} \right)

(B)  \displaystyle \left( {\frac{3}{2},2} \right)

(C)  \displaystyle \left( {\frac{3}{2},-2} \right)

(D)  \displaystyle \left( {2,\frac{3}{2}} \right)

Answer

Ans – (B)  \displaystyle \left( {\frac{3}{2},2} \right)


7. The ratio in which the y-axis divides the line-segment joining the points (5, -6) and (-1,-4) is:
(A) 1:5
(B) 5:1
(C) 3:2
(D) 2:3

Answer

Ans – (B) 5:1


8. The ratio in which the x-axis divides the line-segment joining the points A(1, -5) and B(-4, 5) is:
(A) 2:1
(B) 1:1
(C) 1:2
(D) 3:2

Answer

Ans – (B) 1:1


9. The point on the x-axis which is equidistant from (2,-5) and (-2, 9) is : Most Important
(A) (0, -7)
(B) (-7, 0)
(C) (-5, 0)
(D) (0,-5)

Answer

Ans – (B) (-7, 0)


10. The area of triangle whose vertices are (1, -1), (-4, 6) and (-3,-5) is :

(A)  \displaystyle \frac{{43}}{2}

(B) 8
(C) 24
(D) None of these

Answer

Ans – (C) 24


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