MCQ
Find the value of $\sec^2(\tan^{-1}2)+\text{cosec}^2(\cot^{-1}3)$
  • A
    $12$
  • B
    $5$
  • $15$
  • D
    $9$

Answer

Correct option: C.
$15$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The system of linear equations : $x + y + z = 2 , 2x + y − z = 3 , 3x + 2y + kz = 4$ has a unique solution if
The range of the function $\text{f(x)}=^{7-\text{x}}\text{P}_{\text{x}-3}$ is:
A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is
A plane passing through (−1, 2, 3) and whose normal makes equal angle with the coordinate axes is:
The solution of the differential equation $\frac{{dy}}{{dx}} = (1 + x)(1 + {y^2})$ is
Let $f ( x )$ be a polynomial of degree $6$ in $x ,$ in which the coefficient of $x^{6}$ is unity and it has extrema at $x=-1$ and $x=1$. If $\lim _{x \rightarrow 0} \frac{f(x)}{x^{3}}=1,$ then $5 \cdot f (2)$ is equal to .............
If $\text{f}\text{(x)}=\sqrt{\text{x}^2-10\text{x}+25},$ then the derivative of f(x) in the intereval [0, 7] is:
Choose the correct answer from the given four options.
If $\text{P}(\text{A})=\frac{3}{10},\text{P}(\text{B})=\frac{2}{5}$ and $\text{P}(\text{A}\cup\text{B})=\frac{3}{5},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)+\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$ equas:
If a drunkard person tries to take a step, then it will be a forward or backward step with probabilities $\frac{1}{4},\frac{1}{2}$ respectively, or he will remain in 'as it is' position. If he tries to take a step $5$ times, then probability that he will be one step away from the initial position
A box contains $10$ good articles and $6$ with defects. One item is drawn at random. The probability that it is either good or has a defect is,