MCQ
A rectangular parallelopiped is formed by planes drawn through the point (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is:
  • A
    2
  • B
    3
  • C
    4
  • D
    all of these

Answer

  1. all of these

Solution:

The give point (5, 7, 9) and (2, 3, 7) are two diagonally opposite vertices of the parallelopiped as all of theire coordinates.

Edges of the paralleloppiped = |5 - 2|, |7 - 3|, |9 - 7|

=3, 4, 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

Similar questions

$\int_{}^{} {{{\sin }^3}x\;dx} $ is equal to
$\int\limits^{\infty}_0\log\Big(\text{x}+\frac{1}{\text{x}}\Big)\frac{1}{1+\text{x}^2}\text{ dx}=$

  1. $\pi\ln 2$

  2. $-\pi\ln2$

  3. $0$

  4. $-\frac{\pi}{2}\ln2$

Let $x=x(t)$ and $y=y(t)$ be solutions of the differential equations $\frac{\mathrm{dx}}{\mathrm{dt}}+\mathrm{ax}=0$ and $\frac{\mathrm{dy}}{\mathrm{dt}}+\mathrm{by}=0$ respectively, $\mathrm{a}, \mathrm{b} \in \mathrm{R}$. Given that $x(0)=2 ; y(0)=1$ and $3 y(1)=2 x(1)$, the value of $t$, for which $x(t)=y(t)$, is :
If $\frac{d}{{dx}}\,G\left( x \right) = \frac{{{e^{\tan \,x}}}}{x},\,x \in \left( {0,\pi /2} \right)$, then $\int\limits_{1/4}^{1/2} {\frac{2}{x}} .{e^{\tan \,\left( {\pi \,{x^2}} \right)}}dx$ is equal to
$\mathop {Lim}\limits_{n\, \to \,\infty } \,\int\limits_0^2 {{{\left( {1 + \frac{t}{{n + 1}}} \right)}^n}dt} $ is equal to
If $f (x) = \frac{{{{\log }_{\sin |x|}}{{\cos }^3}x}}{{{{\log }_{\sin |3x|}}{{\cos }^3}\left( {\frac{x}{2}} \right)}}for |x| <\frac{\pi }{3} x \ne 0= 4$ for $x = 0$then, the number of points of discontinuity of f in $\left( { - \frac{\pi }{3},\,\frac{\pi }{3}} \right)$ is
Choose the correct answer from the given four options.
A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even number on the die and a spade card is:
  1. $\frac{1}{2}$
  2. $\frac{1}{4}$
  3. $\frac{1}{8}$
  4. $\frac{3}{4}$
If $\int {\frac{{log\left( {t + \sqrt {1 + {t^2}} } \right)}}{{\sqrt {1 + {t^2}} }}dt = \frac{1}{2}{{\left( {g\left( t \right)} \right)}^2} + C} $ , where $C$ is a constant, then $g(2)$ is equal to
Let $A = \left[ {\begin{array}{*{20}{c}}1&2\\3&4\end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}}a&0\\0&b\end{array}} \right]\;,a,b \in N$ then
The reflection of the point $(\text{a}, \beta, \gamma) $ in the xy-plane is: