Kurukshetra University 2007 B.Pharm Maths - Question Paper

part - A

Q. 1. If prove that

Q. 2. Show that where

Q. 3. In a single throw of 3 dice, determine the probability of getting (a

Q. 4. A class consists of 10 boys and eight girls. 3 students are opted at random. obtain the probability that the opted group has

(a) All boys,

(b) All girls,

(c) two boys and one girl.

Q. 5. Evaluate:



Q. 6. Evaluate:



Q. 7. Form the differential formula representing the family where a is an arbitrary constant.

Q. 8. Solve the subsequent differential equation:

Solve the subsequent differential equation:



Q. 9. Prove that:

Or

Text the validity of the subsequent argument:

Q. 10. Evaluate:

Q. 11. Differentiate sin from 1st principles.

Q. 12. If obtain

Q. 13. The surface area of a spherical bubble is increasing at the rate of two cm2/sec. obtain the rate at which the quantity of the bubble is increasing at the instant its radius is six cm.

Q. 14. Evaluate:

Q. 15. Evaluate:

Q. 16. Using matrices, solve the subsequent system of linear equations:

Or

If obtain x and y such that Hence obtain A -1 .

Q. 17. A wire of length 36 cm is cut into 2 pieces. 1 of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. obtain the length of every piece so that the sum of the areas of the 2 be minimum.

Q. 18. obtain the area bounded by the curve and the straight line

part - B

Q. 19. Express the vector as sum of 2 vectors such that 1 is parallel to the vector and the other is perpendicular to

Q. 20. If the vectors be coplanar, show that

Q. 21. A car, traveling with a uniform acceleration, has a velocity of 18 km/hour at a certain time and 54 km/hour after covering a distance of 500m. How much further will it travel to attain a velocity of 72 km/hour?

Q. 22. A body falls freely from the top of a tower; It covers of the whole distance in the last second. obtain the height of the tower and the total by the body to fall down.

Or

A cricket ball is project with a velocity of 29.4 m/sec. obtain

(a) The greatest range on the horizontal plane; and

(b) The angle of projection to provide a range of 44.10 m.

Q. 23. obtain the co-ordinates of the foot of the perpendicular drawn from the point A(1,8,4,) to the line joining the points B(0,-1,3) and C(2,-3,-1).

Earning:   Approval pending.