Except for the following questions, ali the remaining questions have been asked in Set I and Set II.

**Q. 1. **If is the GCD of the polynomials and find the values of a and b.

**Ans. (a= -6, b=1)**

**Q. 2. **Using quadratic formula, solve the following quadratic equation for

**Ans. **

**Q. 4. **The 8 th term of an Arithmetic Progression (A.P.) is 32 and its 12 th term is 52. Find the A.P.

**Ans.(-3, 2, 7, 12, ..)**

**Q. 8. **A loan of Rs. 3,900 is to be returned in two equal annual instalments. If the rate of interest is 8% per annum, compounded annually, calculate the amount of each instalment.

**Ans. (Rs.2,187)**

**Q. 14. **Construct a triangle ABC in which and altitude AD = 5.5 cm.

**Q. 17. **Find the point on the x-axis which is equidistant from the points (-2, 5) and (2, - 3).

**Ans. (P (-2,0)**

**Q. 18. **A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is (i) white (ii) red (iii) not black (iv) red or white.

**Ans. (4/15, 2/5, 2/3, 2/3,)**

**Q. 22. **As observed from the top of a light-house, 100 m high above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30^{0} to 60^{0}. Determine the distance travelled by the ship during the period of observation. (Use )

**Ans. (115.46) **

Maths 2004 Question Papers Class X

CBSE 2004 Question Papers Class X