CBSE Guess > Papers > Question Papers > Class X > 2006 > Mathematics > Outside Delhi Set - III

Mathematics — 2006 (Set III — Outside Delhi)

Q. 2. If (x - 3) (x + 5) is the HCF of the polynomials
p(x) = (x² - 5x +6) (3x² + 8x + a) and q(x) = (x² + x - 20) (2x² - x + b).
Find the values of a and b.

Q. 7. Two circles intersect each other at A and B. From a point C on AB produced, two tangents CP and CQ are drawn to the two circles touching them at P and Q. Prove that CP = CQ.

Q. 8. Find the sum of all the natural numbers between 200 and 300 which are divisible by 4.

Q. 10. A household article is available for Rs. 1,500 cash or Rs. 360 cash down payment followed by three equal monthly instalments. If the rate of interest charged under the instalment plan is 16% per annum, find the amount of instalment

Q. 11. Draw the graphs of the equations
2x - y + 6 = 0 and 4x + 5y - 16 = 0
Also determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis.

Q. 15. The Arithmetic Mean of the following frequency distribution is 25. Determine the value of p.

Q. 19. A box contains 19 balls bearing numbers 1, 2, 3… 19. A ball is drawn at random from the box. Find the probability that the number on the ball is

1. a prime number
2. divisible by 3 or 5
3. neither divisible by S nor by 10
4. an even number.

Q. 21. Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite to the first side is a right angle.
Using the above, prove the following:
In such that AD² = BD.DC. Prove that is right angled at A.

Mathematics 2006 Question Papers Class X
Delhi		Outside Delhi		Compartment Delhi		Compartment Outside Delhi
	Set I		Set I		Set I		Set I
	Set II		Set II		Set II		Set II
	Set III		Set III		Set III		Set III

CBSE 2006 Question Papers Class X
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