MCQ
Let a line pass through two distinct points $P(-2,-1,3)$ and $Q$, and be parallel to the vector $3 \hat{i}+2 \hat{j}+2 k$. If the distance of the point $Q$ from the point $R (1,3,3)$ is 5 , then the square of the area of $\triangle PQR$ is equal to:
  • A
    136
  • B
    140
  • C
    144
  • D
    148

Answer

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 number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are
If $f(x)$ and $g(x)$ are functions satisfying $f(g(x))$ = $x^3 + 3x^2 + 3x + 4$  $f(x)$ = $log^3x + 3$, then slope of the tangent to the curve $y = g(x)$ at $x =  \ -1$ is 
The minimum value of ${\left( {{x_1} - {x_2}} \right)^2} + {\left( {\sqrt {2 - x_1^2}  - \frac{9}{{{x_2}}}} \right)^2}$ where ${x_1} \in \left( {0,\sqrt 2 } \right)$ and ${x_2} \in {R^ + }$.
The values of $z$for which $|z + i|\, = \,|z - i|$ are
The values of $a$ and $b$ such that $\mathop {\lim }\limits_{x \to 0} \frac{{x(1 + a\cos x) - b\sin x}}{{{x^3}}} = 1$, are
The partial fraction of ${{6{x^4} + 5{x^3} + {x^2} + 5x + 2} \over {1 + 5x + 6{x^2}}} = $
Let $\mathrm{X}$ be the set of all five digit numbers formed using $1,2,2,2,4,4,0$. For example, $22240$ is in $\mathrm{X}$ while $02244$ and $44422$ are not in $X$. Suppose that each element of $X$ has an equal chance of being chosen. Let $\mathrm{p}$ be the conditional probability that an element chosen at random is a multiple of $20$ given that it is a multiple of $5$ . Then the value of $38 p $ is equal to
If a normal drawn to the parabola ${y^2} = 4ax$ at the point $(a,\;2a)$ meets parabola again on $(a{t^2},\;2at)$, then the value of $t$ will be
The total number of $3-digit$ numbers, whose sum of digits is $10,$ is
Consider a square matrix of order $5$ such that ${a_{ij}} = 0\,\,\forall \,\,i + j\, = n + 1,\,a_{ij}\, \in \left\{ {0,1} \right\}\,\,\forall \,\,i,j$ . In each row as well as in each column there in only one non-zero element. Then number of such matrices is