Question
The value of $\tan \left[\cos ^{-1}\left\{\sin \left(\cot ^{-1} 1\right)\right\}\right]$ is. ________
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Consider the following equation of curve $y^2= 4x$ and straight line $x + y = 3.$
Based on the above information, answer the following questions.
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The vector equation of the line $\frac{\text{x}-5}{3}=\frac{\text{y}+4}{7}=\frac{\text{z}-6}{2}$ is _________.
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If A and B are two events such that $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\text{p},\text{P}(\text{A})=\text{p},\text{P}(\text{B})=\frac{1}{3}$ and $\text{P}(\text{A}\cap\text{B})=\frac{5}{9},$ then p = __________.
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Fill in the blank.
If A is symmetric matrix, then B′AB is _________.
If A is symmetric matrix, then B′AB is _________.
If A has a skew symmetric matrix then $A ^2$ has ________ matrix.
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The value of $\int\limits^\pi_{-\pi}\sin^3\text{x}\cos^2\text{x dx}$ is _______.
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