Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
Let $Q$ be the image of the point $P(-2,1,-5)$ in the plane $3 x-2 y+2 z+1=0 .$ Consider the following:
1 . The direction ratios of the line segment $\mathrm{PQ}$ are $ < 3,-2,2>$.
2 . The sum of the squares of direction cosines of the line segment $\mathrm{PQ}$ is unity. Which of the above statements is/are correct?
MathematicsThree Dimensional GeometryNDANDA 2016 (Phase 2)
Options:
  • A 1 only
  • B 2 only
  • C Both 1 and 2
  • D Neither 1 nor 2
Solution:
2631 Upvotes Verified Answer
The correct answer is: Both 1 and 2
From (i) above, 1 is correct. We know that, Sum of direction cosines of the line segment $\mathrm{PQ}=1$.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.