New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2022 · 28 Jul · Shift 2 · Q30

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2022 · 28 Jul · Shift 2 · Q30

Area Under the Curves question

2022 · 28 Jul · Shift 2 · Q30

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area enclosed by the curves

y=\log _{e}\left(x+\mathrm{e}^{2}\right), x=\log _{e}\left(\frac{2}{y}\right)

and

x=\log _{\mathrm{e}} 2

, above the line

y=1

is:

A
$2+\mathrm{e}-\log _{\mathrm{e}} 2$
B
$1+e-\log _{e} 2$
C
$e-\log _{e} 2$
D
$1+\log _{e} 2$

More from Area Under the Curves

The area of the region S = {(x, y) : y2 $\leq$ 8x, y $\geq 2$ x, x $\geq$ 1} is2022 · MCQ
The area of the bounded region enclosed by the curve $y = 3 - x - \frac{1}{2} - ∣ x + 1∣$ and the x-axis is :2022 · MCQ
The area of the region ${(x, y) : ∣ x - 1∣ \leq y \leq 5 - x^{2}}$ is equal to :2022 · MCQ
The area enclosed by y2 = 8x and y = $2$ x that lies outside the triangle formed by y = $2$ x, x = 1, y = 2 $2$ , is equal to:2022 · MCQ
For real numbers a, b (a > b > 0), let Area ${(x, y) : x^{2} + y^{2} \leq a^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \geq 1} = 30 π$ and Area ${(x, y) : x^{2} + y^{2} \leq b^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1} = 18 π$ …2022 · Numerical
If for some $α$ > 0, the area of the region ${(x, y) : ∣ x + α ∣ \leq y \leq 2 - ∣ x ∣}$ is equal to $\frac{3}{2}$ , then the area of the region ${(x, y) : 0 \leq y \leq x + 2 α, ∣ x ∣ \leq 1}$ is equal to .2022 · Numerical
The area, enclosed by the curves $y = sin x + cos x$ and $y = ∣ cos x - sin x ∣$ and the lines $x = 0, x = \frac{π}{2}$ , is :2021 · MCQ
Let $f : [- 3, 1] \to R$ be given as $f (x) = {min {(x + 6), x^{2}} max {x, x^{2}} - 3 \leq x \leq 0 0 \leq x \leq 1$ If the area bounded by $y = f (x)$ and $x$ -axis is $A$ …2021 · Numerical