MCQ
The area bounded by the curve $x^{2 }+ y^{2 }= 1$ in first quadrant is$:$
  • $\frac{\pi}{4}\text{sq.}\text{units}$
  • B
    $\frac{\pi}{2}\text{sq.}\text{units}$
  • C
    $\frac{\pi}{3}\text{sq.}\text{units}$
  • D
    $\frac{\pi}{6}\text{sq.}\text{units}$

Answer

Correct option: A.
$\frac{\pi}{4}\text{sq.}\text{units}$
$\frac{\pi}{4}\text{sq.}\text{units}$

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

Choose the correct answer from the given four options.Which of the following is the general solution of $\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}-2\frac{\text{d}\text{y}}{\text{d}\text{x}}+\text{y}=0?$
  1. $\text{y}=(\text{Ax}+\text{B})\text{e}^{\text{x}}$
  2. $\text{y}=(\text{Ax}+\text{B})\text{e}^{-\text{x}}$
  3. $\text{y}=\text{Ax}\text{e}^{\text{x}}+\text{B}\text{e}^{\text{x}}$
  4. $\text{y}=\text{A}\cos\text{x}+\text{B}\sin\text{x}$
The matrix $\text{A}=\begin{bmatrix}0&-5&8\\5&0&12\\-8&-12&0\end{bmatrix}$ is a:
  1. Diagonal matrix.
  2. Symmetric matrix.
  3. Skew-symmetric matrix.
  4. Scalar matrix.
A person writes 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is
If the function $f(x)=\left\{\begin{array}{cc}\frac{\sin x^2}{x} ; & x \neq 0 \\ 0 ; & x=0\end{array}\right.$, is differentiable at $x=0$, then right hand derivative of $f(x)$ at $x=0$ is
The eqution of the plane which cute equal intercepts of unit length on the coordinate axes is:
  1. x + y + z = 1
  2. x + y + z = 0
  3. x + y - z = 1
  4. x + y + z = 2
The solution of the differential equation $dy = (1 + y^2) dx$ is:
For a linear programming equations, convex set of equations is included in region of:
$\int e ^{5 \log x} dx$ is equal to:
The domain of function $f(x)=\sin ^{-1} x+\cos x$ is-
If the direction ratios of the lines are $a_1, b_1, c_1$ and $a_2$, $b_2, c_2$, then they will be mutually perpendicular if :