MCQ
Area between the parabola $x^2 = 4y$ and line $x = 4y –2$ is$:$
  • A
    $\frac{8}{9}$
  • B
    $\frac{9}{7}$
  • C
    $\frac{7}{9}$
  • $\frac{9}{8}$

Answer

Correct option: D.
$\frac{9}{8}$
$\frac{9}{8}$

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

The direction cosines of the straight linegiven by the planes x = 0 and z = 0 are:
Let $\text{A}=\begin{vmatrix}1&\sin\theta&1\\-\sin\theta&1&\sin\theta\\-1&-\sin\theta&1\end{vmatrix},$ where $0\leq\theta\leq2\pi.$ Then:
If $\sin^{-1}\text{x}-\cos^{-1}\text{x}=\frac{\pi}{6},$ then x =
  1. $\frac{1}{2}$
  2. $\frac{\sqrt3}{2}$
  3. $-\frac{1}{2}$
  4. $\text{none of these}$
$\cos^{-1}[\cos(2\cot^{-1}(\sqrt2-1))]=$ ______.
  1. $\sqrt2-1$
  2. $1+\sqrt2$
  3. $\frac{\pi}{4}$
  4. $\frac{3\pi}{4}$
Corner points of the bounded feasible region for an LP problem are A(0, 5) B(0, 3) C(1, 0) D(6, 0). Let z = -50x + 20y be the objective function. Minimum value of z occurs at ______ center point.
Let $\sin\text{y}=\text{x}\sin(\text{a}+\text{y}),$ then $\frac{\text{dy}}{\text{dx}}$ is:
  1. $\frac{\sin\text{a}}{\sin\text{a}\sin^2(\text{a}+\text{y})}$
  2. $\frac{\sin^2(\text{a}+\text{y})}{\sin\text{a}}$
  3. $\sin\text{a}\sin^2(\text{a}+\text{y})$
  4. $\frac{\sin^2(\text{a}+\text{y})}{\sin\text{a}}$
The angle of intersection of the parabolas $y^2 = 4 ax$ and $x^2 = 4ay$ at the origin is:
If $\text{y}=\log_\text{e}\Big(\frac{\text{x}}{\text{a}+\text{bx}}\Big)^\text{x}$ then $\text{x}^3\text{y}_2=$
  1. $(\text{xy}_1-\text{y})^2$
  2. $(1+\text{y})^2$
  3. $\Big(\frac{\text{y}-\text{xy}_1}{\text{y}_1}\Big)^2$
  4. $\text{None of these}$
The eqution of the plane contaning the two lines $\frac{\text{x}-1}{2}=\frac{\text{y}+1}{-1}=\frac{\text{z}-0}{3}$ and $\frac{\text{x}}{-2}=\frac{\text{y}-2}{-3}=\frac{\text{z}+1}{-1}$ is:
  1. 8x + y - 5z - 7 = 0
  2. 8x + y + 5z - 7 = 0
  3. 8x - y - 5z - 7 = 0
  4. None of these
The number of integral solutions (x, y) of the equations $\text{x}{\sqrt{\text{y}}}+\text{y}\sqrt{\text{x}}=20$ and $\text{x}{\sqrt{\text{x}}}+\text{y}\sqrt{\text{y}}=65$ is:
  1.  0
  2. 1
  3. 2
  4. None of these