31)

Point \(P\left(\frac{a}{8}, 4\right)\) is the mid-point of the line segment joining the points A(- 5, 2) and B(4, 6). The value of a is:

Class 10 Maths

A)

-444

B)

-44

C)

-4

D)

-4444

32)

 

The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant.

Class 10 Maths

A)

IV

B)

V

C)

II

D)

III

33)

 

In what ratio does the y-axis divide the join of P(-4, 2) and Q(8, 3)?

Class 10 Maths

A)

1:2

B)

2:1

C)

2:3

D)

3:2

34)

If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2, 5), then the coordinates of the other end of the diameter are

Class 10 Maths

A)

( – 6, -7)

B)

( – 6, 7)

C)

( 6, 7)

D)

( –6, -7)

35)

 

If the centroid of the triangle formed by the points (3, -5), (-7,4), (10, -k) is at the point (k, -1), then k =?

Class 10 Maths

A)

4

B)

3

C)

2

D)

1

36)

 

The points A(9, 0), B(9, 6), C(-9, 6) and D(-9, 0) are the vertices of a

Class 10 Maths

A)

rectangle

B)

trapezium

C)

square

D)

rhombus

37)

 

The centroid of a triangle divides the median in the ratio

Class 10 Maths

A)

3:1

B)

1:3

C)

1:2

D)

2:1

38)

 

The coordinates of the midpoint of the line joining the points (3p, 4) and (-2, 4) is (5, p). The value of p is

Class 10 Maths

A)

4

B)

3

C)

2

D)

1

39)

The area of a triangle with vertices A(5, 0),  B(8, 0) and C(8, 4) in square units is

Class 10 Maths

A)

16

B)

6

C)

26

D)

36

40)

If the point C(k, 4) divides the join of the points .4(2, 6) and B(5,1) in the ratio 2:3 then the value of k is

Class 10 Maths

A)

\(\frac{16}{5}\)

B)

\(\frac{16}{55}\)

C)

\(\frac{16}{15}\)

D)

\(\frac{16}{95}\)