MCQ
Area lying between the curves $y^2=4 x$ and $y=2 x$ is _________.
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{4}$
  • C
    $\frac{1}{3}$
  • D
    $\frac{3}{4}$

Answer

SELF

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  $A$  and  $B $ be symmetric matrices of the same order, then $AB - BA$ will be a
The number of arbitrary constants in the particular solution of a differential equation of third order are:
  1. 3
  2. 2
  3. 1
  4. 0
Area bounded by curve $x(x^2 + p)$ = $y -1$ with $y = 1$ is
The degree and order of differential equation $y^{\prime \prime 2}+\log \left(y^{\prime}\right)=x^5$ respectively are:
The angle of intersection of the curves $\text{y}=2\sin^2\text{x}$ and $\text{y}=\cos2\text{x}\text{ at }\text{x}=\frac{\pi}{6}$ is:
  1. $\frac{\pi}{4}$
  2. $\frac{\pi}{2}$
  3. $\frac{\pi}{3}$
  4. $\text{None of these.}$
A particle is moving on a straight line, where its position $s$ (in metre) is a function of time $ t$  (in seconds) given by $s = a{t^2} + bt + 6,t \ge 0$. If it is known that the particle comes to rest after $4$ seconds at a distance of $16$ metre from the starting position $(t = 0)$, then the retardation in its motion is
A fair coin is tossed $n$-times such that the probability of getting at least one head is at least $0.9 .$ Then the minimum value of $n$ is $....$
Let $f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x$ . If $f(3)=\frac{1}{2}\left(\log _e 5-\log _e 6\right)$, then $f(4)$ is equal to
For the function $f (x) =$ $\frac{1}{{x + {2^{\frac{1}{{(x - 2)}}}}}}$ , $x \ne 2$ which of the following holds ?
The function $f(x) = \frac{{1 - \sin x + \cos x}}{{1 + \sin x + \cos x}}$ is not defined at $x = \pi .$ The value of $f(\pi ),$ so that $f(x)$ is continuous at $x = \pi $, is