New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Area Under the Curves question

2005 · Shift 0 · Q82

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

PYQ Library
JEE Main
Mathematics
Area Under the Curves
2005 · Shift 0 · Q82

Area Under the Curves question

2005 · Shift 0 · Q82

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

Let

f(x)

be a non - negative continuous function such that the area bounded by the curve

y=f(x),x

-axis and the ordinates

x = {\pi \over 4}

and

x = \beta \gt {\pi \over 4}

is

\left( {\beta \sin \beta + {\pi \over 4}\cos \beta + \sqrt 2 \beta } \right).

Then

f\left( {{\pi \over 2}} \right)

is

A
$\left( {{\pi \over 4} + \sqrt 2 - 1} \right)$
B
$\left( {{\pi \over 4} - \sqrt 2 + 1} \right)$
C
$\left( {1 - {\pi \over 4} - \sqrt 2 } \right)$
D
$\left( {1 - {\pi \over 4} + \sqrt 2 } \right)$

More from Area Under the Curves

The area of the region bounded by the curves $y = ∣ x - 2 ∣, x = 1, x = 3$ and the $x$ -axis is :2004 · MCQ
The area of the region bounded by the curves $y = ∣ x - 1 ∣$ and $y = 3 - ∣ x ∣$ is :2003 · MCQ
The area bounded by the curves $y = ln x, y = ln ∣ x ∣, y = ∣ ln x ∣$ and $y = ∣ ln ∣ x ∣ ∣$ is :2002 · MCQ
If the area of the region ${(x, y) : 4 - x^{2} \leq y \leq x^{2}, y \leq 4, x \geq 0}$ is $(\frac{80 2}{α} - β), α, β \in N$ , then $α + β$ is equal to …2025 · Numerical
The area of the region bounded by the curve $y = max {∣ x ∣, x ∣ x - 2∣}$ , the $x$ -axis and the lines $x = - 2$ and $x = 4$ is equal to 2025 · Numerical
The area of the region ${(x, y) : ∣ x - y ∣ \leq y \leq 4 x}$ is2025 · MCQ
Let $f : [0, \infty) \to R$ be a differentiable function such that $f (x) = 1 - 2 x + \int_{0}^{x} e^{x - t} f (t) d t$ for all $x \in [0, \infty)$ . Then the area of the region bounded by $y = f (x)$ and the coordinate axes is2025 · MCQ
If the area of the region ${(x, y) : ∣ x - 5∣ \leq y \leq 4 x}$ is , then $3 A$ is equal to .2025 · Numerical