_ x /2 ( - ) = - Vidyadip

MCQ

$\mathop {\lim }\limits_{x \to \pi /2} (\sec \theta - \tan \theta ) = $

✓
$0$
B
$0.5$
C
$2$
D
$\infty $

✓

Answer

Correct option: A.

$0$

a
(a)$\mathop {\lim }\limits_{\theta \to \pi /2} \,\,\frac{{1 - \sin \theta }}{{\cos \theta }} = \mathop {\lim }\limits_{\theta \to \pi /2} \,\,\frac{{{{\left( {\cos \frac{\theta }{2} - \sin \frac{\theta }{2}} \right)}^2}}}{{\left( {\cos \frac{\theta }{2} - \sin \frac{\theta }{2}} \right)\,\left( {\cos \frac{\theta }{2} + \sin \frac{\theta }{2}} \right)}} = 0$.

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

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the variance of the frequency distribution is $160$ , then the value of $\mathrm{c} \in \mathrm{N}$ is

$X$	$c$	$2c$	$3c$	$4c$	$5c$	$6c$
$f$	$2$	$1$	$1$	$1$	$1$	$1$

If $a,\;b,\;c,\;d$ and $p$ are different real numbers such that $({a^2} + {b^2} + {c^2}){p^2} - 2(ab + bc + cd)p + ({b^2} + {c^2} + {d^2}) \le 0$, then $a,\;b,\;c,\;d$ are in

If the locus of $z \in \mathrm{C}$, such that
$\operatorname{Re}\left(\frac{z-1}{2 z+\mathrm{i}}\right)+\operatorname{Re}\left(\frac{\bar{z}-1}{2 \bar{z}-\mathrm{i}}\right)=2$,
is a circle of radius $r$ and center $(a, b)$ then $\frac{15 \mathrm{ab}}{\mathrm{r}^{2}}$ is equal to :

If $y = x + e^x$ , then at $x = 1$ , $\frac{{{d^2}x}}{{d{y^2}}}$ is equal to

The middle term in the expansion of ${\left( {x + \frac{1}{x}} \right)^{10}}$ is

The points $A(4,\,5,\,1),B(0, - 1, - 1),C(3,\,9,\,4)$ and $D( - 4,\,4,\,4)$ are

The equation of the parabola whose axis is vertical and passes through the points $(0, 0), (3, 0)$ and $(-1, 4)$ is

Suppose $f (x) = e^{ax} + e^{bx},$ where $a \ne b$, and that $f '' (x) - 2 f ' (x) - 15 f (x) = 0$ for all $x.$ Then the product $ab$ is equal to

The number of different words can be formed from the letters of the word $'SUCCESS'$ in which the two $C$ are together but no two $S$ are together are :-

The number of integral values of $'\alpha '$ for which the abscissa of point of intersection of lines $y = x + 9\alpha $ and $3\alpha x + 2y + 9 = 0$ is integer, is