Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper

28. Find the value of k for which the points with coordinates (7, 5), (k, 11/2) and (2, 6) are collinear.




Sample Paper – 2006
Mathematics


part – A

1. There are 3 children in a family. obtain the probability that there is 1 girl in the family.
2. Which term of the A.P: 5, 13, 21….. is 181 ?
3. Find the values of P for which the quadratic formula 9x2 + 3Px + four = 0 has real and equal roots.
4. Prove that v2 + v3 is irrational.
5. If K is the zero of P(x) = ax + b, obtain K.
6. How many spherical balls every of radius one cm can be made from a sphere of lead of radius eight cm.
7. Prove that the tangents at the end of a diameter are parallel.
8. Verify that sin 3A = sin2A.cosA + cos2A.sinA, if A = 30°.
9. The perimeters of 2 similar triangles are 24 cm and 16 cm. if 1 side of the 1st triangle is 12 cm, obtain the corresponding side of the other.
10. Find the value of Y if the mode of the subsequent data is 25.
15,20,25,18,14,15,25,15,18,16,20,25,20,Y,18

SECTION- B
11. Solve the formula 2x2 –7x + three = 0 by the method of completing the square.
12. If seven cosec ? - three cot ? = 7, then prove that seven cot ? – three cosec ? = 3. OR
Prove that (1+ cot A + tan A )(sin A – cos A) = secA.
13. ABCD is the rectangle whose vertices are A(0,0), B(a,0), C(a,b), D(0,b). Show that the diagonals of it bisect every other and are equal.
14. Find the value of P if the mean of the subsequent distribution is 20.
x 15 17 19 20+P 23
f 2 3 4 5P 6
15. Construct 2 tangents to a circle of radius 3cm from a point on the concentric circle of radius 6cm. OR
Construct a triangle similar to a provided triangle with sides five cm, 12 cm, 13 cm and whose sides are 3/5 of the corresponding sides of the provided triangle.



SECTION-C
16. Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where q is a few integer. OR
If the sum of the zeros of the polynomial (a+1) x2 + (2a+3) x + (3a+4) be –1, obtain the product of its zeros.
17. Sum of the areas of 2 squares is 468 m2. If the difference of their perimeters is 24 m, obtain the sides of the 2 squares.

Earning:   Approval pending.