MCQ
The distance of point (1, 2, 3) from origin is
  • A
    1
  • B
    2
  • C
    3
  • D
    $\sqrt{14}$

Answer

self

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

Which of the following is an even function :-
$\int\limits^{\frac{\pi}{2}}_0\sin2\text{x }\log\tan\text{x dx}$ is equal to:
  1. $\pi$
  2. $\frac{\pi}{2}$
  3. $0$
  4. $2\pi$
The function $\text{f}:\Big[\frac{-1}{2},\frac{1}{2},\frac{1}{2}\Big]\rightarrow\ \Big[\frac{-\pi}{2},\frac{\pi}{2}\Big],$ defined by $\text{f(x)}=\sin^{-1}(3\text{x}-4\text{x}^3),$ is:
  1. Bijection.
  2. Injection but not a surjection.
  3. Surjection but not an injection.
  4. Neither an injection nor a surjection.
Solution of the differential equation

$x = 1 + xy\frac{{dy}}{{dx}} + \frac{{{{\left( {xy} \right)}^2}}}{{2!}}{\left( {\frac{{dy}}{{dx}}} \right)^2} + \frac{{{{\left( {xy} \right)}^3}}}{{3!}}{\left( {\frac{{dy}}{{dx}}} \right)^3} + ......$ is

$\int1.\text{dx}=$
  1. $\text{x}+\text{k}$
  2. $1+\text{k}$
  3. $\frac{\text{x}^2}{2}+\text{k}$
  4. $\log\text{x}+\text{k}$
The differential equation of all ‘Simple Harmonic Motions’ of given period $\frac{2\pi}{\text{n}}$ is:
  1. $\frac{\text{d}^2\text{x}}{\text{dt}^2}+\text{nx}=0$
  2. $\frac{\text{d}^2\text{x}}{\text{dt}^2}+\text{n}^2\text{x}=0$
  3. $\frac{\text{d}^2\text{x}}{\text{dt}^2}-\text{n}^2\text{x}=0$
  4. $\frac{\text{d}^2\text{x}}{\text{dt}^2}+\frac{1}{\text{n}^2}=0$
The radius of a sphere is changing at the rate of $0.1\text{cm}/\sec.$ The rate of change of its  surface area when the radius is 200cm is:
  1. $8\pi\text{ cm}^2/\sec.$
  2. $12\pi\text{ cm}^2/\sec.$
  3. $160\pi\text{ cm}^2/\sec.$
  4. $200\text{cm}^2/\sec.$
Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three vectors such that $|\vec{a}|=\sqrt{3}$ $|\overrightarrow{\mathrm{b}}|=5, \overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}=10$ and the angle between $\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ is $\frac{\pi}{3} .$ If $\vec{a}$ is perpendicular to the vector $\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}$ then $|\overrightarrow{\mathrm{a}} \times(\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}})|$ is equal to
Let $f(x)$ be a differentiable function which satisfies the equation $f(xy) = f(x) + f(y)$ for all $x > 0, y > 0$ then $f ‘(x)$ is equal to
The solution of $y{e^{ - x/y}}dx - (x{e^{ - x/y}} + {y^3})dy = 0$ is