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CBSE Guess > Papers > Question Papers > Class XII > 2006 > Mathematics > Compartment Delhi Set - II.

Mathematics — 2006 (Set II — Compartment Delhi)

SECTION - A

Q. 1. In a box containing 50 bulbs 5 are defective. What is the probability that a sample of 5 bulbs will have at most 2 defective bulbs?

Q. 2.

Q. 9.

Q. 12.

Q. 14. The two equal sides of an isosceles tri angle with fixed base b cm are decreasing at the rate of 3 cm/sec. How fast is the area decreasing when the two equal sides are equal to the base?

Q. 17. Using matrices, solve the following system of linear equations:

SECTION - B

Q. 19. Using vectors, prove that the perpendicular bisectors of the sides of a triangle are con current.

Q. 21. Driving a train at the speed of 72 km/ .hr a driver noted that he has to stop the train 10 m before the signal which was just 110 m away. Find the retardation and the time taken to stop.

SECTION - C

Q. 20. 2% of the bolts manufactured by a factory are found to be defective. Find the probability that in a packet of 200 bolts not more than 3 bots will come out to be defective.

Q. 22. A bill of exchange drawn on January 4, 2005 at S months was discounted on March 26, 2005 at 3% per annum. If the banker’s discount be Rs. 603.60, find the face value of the bill.

Q. 25. A man borrows Rs. 40,000 at 16% per annum and promises to pay off the loan in 20 annual instalments, beginning at the end of first year. Calculate what annual instalment will clear off the debt. [Use (1.16) -20 = 0.01529]

 

Mathematics 2006 Question Papers Class XII
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