MCQ
If the straight lines $\vec r=$$(1,2,3)+k(\lambda ,2,3),k \in R$  and $\vec r=$$(2,3,1) +k(3,\lambda ,2),k \in R$ intersect at a point , then the interger $\;\lambda $ is equal to . 
  • $-5$
  • B
    $5$
  • C
    $2$
  • D
    $-2$

Answer

Correct option: A.
$-5$
a

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

Let ${\left( {1 - 2x + 3{x^2}} \right)^{10x}}  = {a_0} + {a_1}x + {a_2}{x^2} + .....+{a_n}{x^n},{a_n} \ne 0$, then the arithmetic mean of $a_0,a_1,a_2,...a_n$ is
Let $\left(1+x+2 x^{2}\right)^{20}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{40} x^{40}$ then $a _{1}+ a _{3}+ a _{5}+\ldots+ a _{37}$ is equal to
If $\mathop {\lim }\limits_{x \to \infty } {\left( {1 + \frac{a}{x} + \frac{b}{{{x^2}}}} \right)^{2x}} = {e^2},$ then the values of $a$ and $b$ are
If the sum of the first $2n$ terms of $2,\,5,\,8...$ is equal to the sum of the first $n$ terms of $57,\,59,\,61...$, then $n$ is equal to
Locus of the centre of circles which pass through $(0, 1)$ and touches the line $y = x$ is -
Evaluate $\left|\begin{array}{ccc}\cos \alpha \cos \beta & \cos \alpha \operatorname{csin} \beta & -\sin \alpha \\ -\sin \beta & \cos \beta & 0 \\ \sin \alpha \cos \beta & \sin \alpha \sin \beta & \cos \alpha\end{array}\right|$
The solution set of the constraints $2 x+3 y \leq 6, x+4 y \leq 4$ and $x \geq 0, y \geq 0$ includes the point $\ldots \ldots \ldots . .$ as corner point.
Let $A=\left[\begin{array}{cc}i & -i \\ -i & i\end{array}\right], i=\sqrt{-1}$. Then, the system of linear equations $A^{8}\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{c}8 \\ 64\end{array}\right]$ has :
The number of distinct solutions of the equation $\log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $[0,2 \pi],$ is
If $y = \log \log x$, then ${e^y}{{dy} \over {dx}} = $