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JEE Main 2009
Exam
JEE Main
Year
2009
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2009 · Mathematics · Straight Lines

The lines p(p^2+1) x-y+q=0 and (p^2+1)^2 x+(p^2+1) y+2 q=0 are...

The lines p(p2+1)x−y+q=0and(p2+1)2x+(p2+1)y+2q=0p\left(p^2+1\right) x-y+q=0 and \left(p^2+1\right)^2 x+\left(p^2+1\right) y+2 q=0 are perpendicular to a common line for

Options

  1. Ano value of pp
  2. Bexactly one value of pp
  3. Cexactly two values of pp
  4. Dmore than two values of pp

Correct answer

B. exactly one value of pp

Step-by-step solution

Lines must be parallel, therefore slopes are equal ⇒p(p2+1)=−(p2+1)⇒p=−1\Rightarrow p\left(p^2+1\right)=-\left(p^2+1\right) \Rightarrow p=-1
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