MATHEMATICS 2005 (Set II—Delhi)
SECTION - A
Q .1 Four for the drawn randomly form a well shuffled pack of 52 cards. Find the probability of getting 3 diamonds and one spade.
Q. 6. If find
Q. 9. If find
Q. 15. Prove that the line is a tangent to the curve at point where the curve cuts y-axis.
Q. 17. Prove that the surface area of a solid cuboid, base and given volume, is minimum when it is a cube.
SECTION - B
Q. 20. Force and act at a point P, with position vector. Find the vector moment of the resultant of these forces about the point Q whose position vector is
Q. 22. A car has a velocity of 30 m/sec at a certain instant. After 10 seconds, the velocity becomes 60 m/sec. If rate of change of velocity is uniform, find the distance this period.
Q. 24. Show that the lines intersect, also find he point of intersection.
SECTION - C
Q. 20. An insurance company insured 2000 scooters and 3000 motor cycles. The probability of an accident involving a scooter is 0.01 and that of a motor cycle is 0.02. An insured vehicle met with an accident. Find the probability that the accidented vehicle was a motor cycle.
Q. 24. A person deposits Rs.1,00,000 in a bank at the end of each year for 10 years. If the compound interest at 10% per annum is reckoned, that would be the sum standing to his credit at the end of the period? [Use (1.1) 10 =2.594]
Maths 2005 Question Papers Class XII
CBSE 2005 Question Papers Class XII