MCQ
If $(\text{x}+\text{y})^2\frac{\text{dy}}{\text{dx}}=\text{a}^2,\text{y}=0$ when $x = 0,$ then $y = a$ if $\frac{\text{x}}{\text{a}}=$
  • A
    $1$
  • B
    $\tan1$
  • C
    $\tan1+1$
  • $\tan1-1$

Answer

Correct option: D.
$\tan1-1$

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

If $\text{f(x)}=|\text{x}-\text{a}|\ \phi\ (\text{x}),$ where $\phi(\text{x})$ is continuous function, then:
If domain of function $f(x) = \sqrt {\ln \left( {m\sin x + 4} \right)} $ is $R$ , then number of possible integral values of $m$ is
The area of the curve $x{y^2} = {a^2}(a - x)$ bounded by $y -$ axis is
If $A=\left[\begin{array}{rr}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right]$, then for what value of $\alpha, A$ is an identity matrix?
The area of the region bounded by the curve $y = x^3,$ and the lines, $y = 8,$ and $x = 0,$ is
For any real number $\mathrm{x}$, let $|\mathrm{x}|$ denote the largest integer less than or equal to $\mathrm{x}$. Let $\mathrm{f}$ be a real valued function defined on the interval $[-10,10]$ by

$f(x)=\left\{\begin{array}{cc}x-[x] & \text { if }[x] \text { is odd } \\ 1+[x]-x & \text { if }[x] \text { is even }\end{array}\right.$

Then the value of $\frac{\pi^2}{10} \int_{-10}^{10} f(x) \cos \pi x d x$ is

The area bounded by the circles $= 4 x^2+y^2=1, x^2+y^2=4$ in the first Quadrant is :
Choose the correct answer from the given four options:The tangent to the curve $y=e^{2 x}$ at the point $(0, 1)$ meets x-axis at:
Choose the correct answer from the given four options.Let us define a relation $R$ in $R$ as $\text{aRb}$ if $a ≥ b.$ Then $R$ is:
Let $V_1$ be the volume of a given right circular cone with $O$ as the centre of the base and $A$ as its apex. Let $V_2$ be the maximum volume of the right circular cone inscribed in the given cone whose apex is $O$ and whose base is parallel to the base of the given cone. Then, the ratio $V_2 / V_1$ is