Instructions:

\lim_{x \to a} \frac{x^3-a^3}{x^2-a^2} =

If x^2 + y^2 = a^2, then \frac{dy}{dx} =

How many number plates of vehicles consisting of 4 different digits can be made out of integers 1,2,3,4,5,6?

No. of ways in which 6 different beads can be arranged in a necklace is

Direction of zero vector

If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on y-axis, then

If the angle between the lines represented by 2x^2-7xy+6y^2-4x-6y+9=0 is tan^{-1}(m) then m =

\int{\frac{1}{x}sin(ln x)dx}=

The function 2x^3-3x^2-12x+4 has

The function f(x) = tanx – x

Change (2+2\sqrt{3}i) into polar form.

If Z_1 = 2 + i, Z_2 = 3 then |3Z_1-4Z_2| =

The value of k for which the sum of the roots of the equation (k-2)x^2+(k-5)x-5=0 is 3 is:

The equation ax^2+bx+c=0 has real roots is:

If a, b, c are in A.P., then 3^a, 3^b, 3^c are in

Which of the following is not true in general?

The relation R defined on the set A = {1,2,3} by R = {(1,1), (1,2), (2,2), (3,3). (2,3), (3,2)} is:

A function f: A → B defined by f(x) = (x+3), where A = {0.1,2,3} and B = {3,4,5,6} is

The value of logtan1^o+logtan2^o+……………….+logtan89^o =

P (1,2) is any point and y^2 = 4x is the parabola. Then P lies

The straight line y = 2x + \lambda does not meet the parabola y^2 = 2x if

The length of latus rectum of the parabola y^2 = 4ax if the line 2x+3y = 1 touches it is

The number of ways in which a student can select one or more questions out of 12 each having an alternative is:

Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?

The distance between the directrices of the ellipse \frac{x^2}{36}+\frac{y^2}{20}=1 is

The eccentricity of an ellipse whose minor axis is half the major axis is

The centre of the ellipse 4x^2+y^2-8x+2y+1=0 is:

If f(x) = x+2 then f’f(x) at x = 4 is

The differential coefficient of a^x w.r. to x is

The point of inflection of the function f(x) = x^3-6x^2+9x+15 is at: