Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Consider the line L given by the equation $\frac{\mathrm{x}-3}{2}=\frac{\mathrm{y}-1}{1}=\frac{\mathrm{z}-2}{1}$ . Let Q be the mirror image of the point $(2,3,-1)$ with respect to L. Let a plane P be such that it passes through Q, and the line L is perpendicular to P. Then which of the following points is on the plane P ?

Option: 1 $(-1,1,2)$

Option: 2 $(1,1,1)$
Option: 3 $(1,1,2)$

Option: 4 $(1,2,2)$

Answers (1)

best_answer

Let $Q$ be the image of $A(2,3,-1)$ in given line

So $A Q \perp line L$

Also given that plane $P$ is perpendicular to line L

$\therefore$ A also lies on plane $P.$

For Plane $P.$
$A(2,3,-1)$ lies on the plane and $L \perp P$

$\Rightarrow \vec{n}=2 i+j+k \text {. }$

$Plane\: is \: 2(x-2)+1(y-3)+1(z+1)=0$

$\Rightarrow 2 x+y+z-6=0$

Checking the given options, $(D) (1,2,2)$ satisfies it.

Hence option (4) is correct answer.

Posted by

Kuldeep Maurya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

5 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82⁰C. If Na₂SO₄ is 81.5% ionised, the value of x (K

A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$

A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO₃ to give fraction A. The leftover organic phase was extracted with d

Trending Articles/News

anam-khan

JEE Main 2025: Most important chapters for physics, chemistry, mathematics to score good marks

anam-khan

JEE Main 2025 session 2 dates clash with ISC, PSEB 12th exams; no impact on major science subjects

anam-khan

Delhi police EOW books FIITJEE for fraud; 192 complaints filed

Latest Question