Download App

Definite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integration2 Marks
MCQ
$\int_3^4 \sqrt{\frac{x-3}{4-x}} d x=$
  • A
    $0$
  • B
    $\frac{\pi}{4}$
  • ✓
    $\frac{\pi}{2}$
  • D
    $\pi$
✓

Answer

Correct option: C.
$\frac{\pi}{2}$
(C)
Here, $a =3$ and $b =4$
$\int_{ a }^{ b } \sqrt{\frac{x- a }{ b -x}} d x=\frac{\pi}{2}(b- a )$
$\therefore \int_3^4 \sqrt{\frac{x-3}{4-x}} d x=\frac{\pi}{2}(4-3)=\frac{\pi}{2}$

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

More "MCQ" from Definite Integration→Definite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Equation of the line passing through $(1,1,1)$ and perpendicular to $2 x-3 y+z=5$ is
→
The area under $y=2 x+\sin x$ between $y=0$, $x=0$ and $x=\frac{\pi}{2}$ is
→
pair of straight lines perpendicular to each other are represented by
→
If the p.m.f. of a d.r.v. $X$ is $P ( X = x )=\left\{\begin{array}{ll}\frac{ c }{x^3}, & \text { for } x=1,2,3, \\ 0, & \text { otherwise }\end{array}\right.$ then $E(X)=$____
→
Let $A (1,-1,2)$ and $B (2,3,-1)$ be two points. If a point P divides AB internally in the ratio $2: 3$. then the position vector of P is
→
Mark the correct alternative in the following question for the binary operation $*$ on $Z$ defined by $a * b = a + b + 1,$ the identity element is:
→
The proposition $(p \wedge q) \wedge(p \rightarrow\sim q$) is
→
The distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and $\frac{x-1}{2}=\frac{y-1}{-1}=\frac{z-1}{2}$ is
→
$\int_{-1}^1 x^{17} \cos ^4 x d x=$
→
The number of real solution of the equation $\sqrt{1+\cos2\text{x}}=\sqrt2\sin^{-1}(\sin\text{x}),-\pi\leq\text{x}\leq\pi$ is:
→