JEE Mains · Maths · STD 12 - 10. vector algebra
Let a line pass through two distinct points \(P(-2,-1,3)\) and \(Q\), and be parallel to the vector \(3 \hat{i}+2 \hat{j}+2 \hat{k}\). If the distance of the point Q from the point \(\mathrm{R}(1,3,3)\) is 5 , then the square of the area of \(\triangle P Q R\) is equal to :
- A 148
- B 136
- C 144
- D 140
Answer & Solution
Correct Answer
(B) 136
Step-by-step Solution
Detailed explanation
Equation of line \(P Q\) is: \(\frac{x+2}{3}=\frac{y+1}{2}=\frac{z-3}{2}=r(\text { say })\) Let coordinate of \(Q=(3 r-2,2 r-1,2 r+3)\) \(\because P R=5\) Then…
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