2. If
and 4A - 3B + C = 0 , then C is equal to
3. If A is a 3 x 2 matrix, B is a 3 x 3 matrix and C is a 2 x 3 matrix, then the elements in A, B and Care respectively
4. The radius of a circle is uniformly increasing at the rate of 3 cm/s. What is the rate of increase in area, when the radius is 10 cm?
- If the function f is given by f(x)=x3-3x²+4x, x ∈ R then
8. What is the solution of the differential equation
where, C is an arbitrary constant.
10. What is the value of k for which the following function f(x) is continuous for all x ?
13. If a and b are unit vectors, then what is the angle between a and b for √3 a - b to be a unit vector?
14. The method to find the reverse probability of any problem by using conditional probability is known as
15. The function f: R→ R given by f(x) = 2x is
17. A member of the population is called
18. The number of arbitrary constants in the particular solution of a differential equation of third order is
19. The present value of a perpetuity of 3120 payable at the beginning of each year. If money is worth 6% effective is
20. The effective rate of interest which is equivalent to a nominal rate of 8% compounded semi-annually is