if tan^-1 (a/x) + tan^-1 (b/x) = \(\pi\) /2, then x = 

1

(a)

\(\sqrt { ab } \)

if A = [-1, 2, -5] B =\(\left[ \begin{matrix} 2 \\ -1 \\ 7 \end{matrix} \right] \) Write the orders of AB and BA

1

(a)

1 x 1, 3 x 3

\(\left[ \begin{matrix} 2 & 3 \\ 1 & 0 \end{matrix} \right] \)= P+Q, where P is symmetric and Q is Skew symmetric matrix, find the matrices P and Q 

1

(a)

\(P=\left[ \begin{matrix} 2 & 3 \\ 1 & 0 \end{matrix} \right] \ Q=\left[ \begin{matrix} 0 & 1 \\ -1 & 0 \end{matrix} \right] \)

If a, b care in A.P find the value of determinant\(\triangle =\left| \begin{matrix} x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c \end{matrix} \right| \)

1

(a)

0 (Using properties)

Check the continuity of the function f(x) = sinx + x² at x = 0

1

(a)

{continuous}

Given an example of a function which is continous but not differtiable 

1

(a)

{f(x)=|x|}

Find the derivative of sin (\(cos^{ 2 }\left( \sqrt { x } \right) \)).

1

(a)

\(\frac { -cos\left( { cos }^{ 2 }\sqrt { x } \right) sin\sqrt { x } cos\sqrt { x } }{ \sqrt { x } } \)

Find the points in the open interval (0, 3) where the gretest integer function f(x) = [x] is not differentiable

1

(a)

{1,2}