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
  • all of these

Answer

Correct option: D.
all of these
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

The solution of $y' - y = 1,\;y(0) = - 1$ is given by $y(x) = $
Let $g(x) = 1 + x - [x]$ and $\text{f(x)}=\begin{cases}-1,&\text{x}<0\\0,&\text{x}=0\\1,&\text{x}>0\end{cases}$ where $[x]$ denotes the greatest integer less than or equal to $x.$ Then for all $x, f(g(x))$ is equal to:
Let $f$ be a real valued function, defined on $R -\{-1,1\}$ and given by

$f(x)=3 \log _{e}\left|\frac{x-1}{x+1}\right|-\frac{2}{x-1}$

Then in which of the following intervals, function $f ( x )$ is increasing?

If $f(x) = \left\{ \begin{array}{l}x\sin \frac{1}{x},\,\,x \ne 0\\\,\,\,\,\,\,\,\,\,\,\,\,k,\,\,x = 0\end{array} \right.$ is continuous at $x = 0$, then the value of $k$ is
Choose the correct answers from the given four options : If $\text{f(x)}=\text{x}^2\sin\frac{1}{\text{x}},$ where $\text{x}\neq0,$ then the value of the function $f$ at $x = 0,$ so that the function is continuous at $x = 0,$ is:
The area enclosed by the curves $x y+4 y=16$ and $x+y=6$ is equal to :
The corner points of the feasible region determined by the following system of linear inequalities: $2\text{x}+\text{y}\leq10,\text{x}+3\text{y}\leq15, \text{x},\text{y}\geq0$ are $(0, 0), (5, 0), (3, 4)$ and $(0, 5).$ Let $Z = px + qy,$ where $p, q > 0.$ Conditions on $p$ and $q$ so that the maximum of $Z$ occurs at both $(3, 4)$ and $(0, 5)$ is :
Choose the correct answer from the given four options.Which one is not a requirement of a binomial distribution?
Let $S=\{1,2,3, \ldots, 100\}$. Suppose $b$ and $c$ are chosen at random from the set $S$. The probability that $4 x^2+b x+c$ has equal roots is
The distance of the points (2, 1, -1) from the plane x - 2y + 4z - 9 is: