CBSE Class 10 Mathematics Sample Paper 2014 Set J

1] The 9^th term of an AP is 449 and 449^th term is 9. The term which is equal to zero is

A.459^th

B. 502^th

C. 501^th

D. 458^th

2] Two circles touch each other externally at C and AB is a common tangent to the circles. Then, <ACB= 

A. 30°

B. 45°

C. 60°

D. 90°

3] An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from his eyes is 45°.The height of the tower is

A. 40 m

B. 20 m

C. 10 m

D. 30 m

4] The value of x, for which the points (x,-1), (2,1) and (4,5) Lie on a line is

A. 3

B. 2

C. 0

D. 1

5] A pendulum swings through an angle of 300 and describes An arc 8.8cm in length. The length of the pendulum is

A. 17 cm

B. 15.8 cm

C. 8.8 cm

D. 16.8 cm

6] If the centroid of the triangle formed by points P(a, b),Q(b, c)and R(c, a) is at the origin, then find the value of a + b +c.

OR

Find the area of the quadrilateral ABCD whose vertices are

A(1,1), B(7,-3), C(12,2) and D(7,21) respectively.

7] An A.P. consists of 60 terms. If the first and the last term be 7 and 125 respectively, find the 32nd term.

8] Find two consecutive positive integers, sum of whose squares is 25.

9] Prove that the tangents at the extremities of any chord make equal angles with the chord.

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