Area bounded by curves x =y -1 and y = x + 1 is- - Vidyadip

MCQ

Area bounded by curves $x =\sqrt {y -1}$ and $y = x + 1$ is-

A
$\frac{1}{3}$
B
$\frac{8}{3}$
✓
$\frac{1}{6}$
D
$\frac{2}{3}$

✓

Answer

Correct option: C.

$\frac{1}{6}$

c
$\mathrm{x}=\sqrt{\mathrm{y}-1}$

$y=x+1$

$\int\limits_0^1 {\left( {x + 1 - {x^2} - 1} \right)dx} $

$=\frac{1}{6}$

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 $\frac{{z - i}}{{z + i}}(z \ne - i)$ is a purely imaginary number, then $z.\bar z$ is equal to

A biased coin with probability $p,\,\,0 < p < 1,$ of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $\frac{2}{5},$ then $p = $

The solution of differential equation, $(x\,\cot \,y + \ln \,(\cos \,x))dy\, + \,(\ln \,(\sin \,y) - y\,\tan \,x)dx = 0$ is (where $C$ denotes constant of integration)

If $5\cos 2\theta + 2{\cos ^2}\frac{\theta }{2} + 1 = 0, - \pi < \theta < \pi $, then $\theta = $

If the area of the region $\left\{( x , y ):\left| x ^2-2\right| \leq y \leq x \right\}$ is $A$, then $6 A +16 \sqrt{2}$ is equal to $...........$.

A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If the probability that the drawn coin was unbiased, is $\frac{\mathrm{m}}{\mathrm{n}}, \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$, then $n^{2}-m^{2}$ is equal to :

Matrix $A$ is such that ${A^2} = 2A - I$, where $I$ is the identity matrix. Then for $n \ge 2,\,{A^n} = $`

Consider the conic $e x^2+\pi y^2-2 e^2 x-2 \pi^2 y +e^3+\pi^3=\pi e$.

Suppose $P$ is any point on the conic and $S_1, S_2$ are the foci of the conic, then the maximum value of $\left(P S_1+P S_2\right)$ is

The ellipse ${x^2} + 4{y^2} = 4$ is inscribed in a rectangle aligned with the coordinate axes, which in trun is inscribed in another ellipse that passes through the point $(4,0) $ . Then the equation of the ellipse is :

If sum of distances of a point from the origin and lines $x = 2$ is $4$, then its locus is