11)

 

If A (-1, 0), B(5, -2) and C(8, 2) are the vertices of a \(\triangle ABC\) then its centroid is

Class 10 Maths

A)

(4, 0)

B)

(9, 0)

C)

(4, 5)

D)

(7, 0)

12)

 

The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2: 1 is

Class 10 Maths

A)

(2, 4)

B)

(3, 5)

C)

(5, 3)

D)

(4, 2)

13)

The midpoint of segment AB is P(0,4). If the coordinates of B are (-2,3),then the coordinates of A are

Class 10 Maths

A)

(2, -5)

B)

(2, 5)

C)

(-2, 5)

D)

(-2, -5)

14)

The coordinates of the point on x -axis which are equidistant from the points (-3, 4) and (2, 5) are

Class 10 Maths

A)

(20, 0)

B)

(4/5, 0)

C)

(-23, 0)

D)

None of these

15)

 

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

Class 10 Maths

A)

7

B)

8

C)

9

D)

10

E)

11

16)

 

Three given points will be collinear, if the area of the triangle formed by these points is

Class 10 Maths

A)

0 sq. units

B)

10 sq. units

C)

5 sq. units

D)

15 sq. units

17)

If the distance between the points (4, p) and (1,0) is 5, then the value of p is

Class 10 Maths

A)

 

±4

B)

 

±5

C)

-4 only

D)

4 only

E)

0

18)

 

Two vertices of \(\triangle\)ABC are A (-1, 4) and B(5, 2) and its centroid is G(0, -3). Then, the coordinates of C are

Class 10 Maths

A)

(4, 15)

B)

(4, -15)

C)

(-4, -15)

D)

(-4, 15)

19)

If the point M(-1, 2) divides the line segment PQ in the ratio 3 : 4, where the coordinates of P are (2, 5), then the coordinates of Q are

Class 10 Maths

A)

(5, 2)

B)

(5, -2)

C)

(-5, 2)

D)

(-5, -2)

20)

 

The area of \(\triangle\)ABC with vertices A(3, 0), B(7, 0) and C(8, 4) is

Class 10 Maths

A)

8 sq units

B)

18 sq units

C)

4 sq units

D)

2 sq units