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JEE Main 20127 MayOnline
Exam
JEE Main
Year
2012
Date
7 May
Mode
Online
Subject
Mathematics
Chapter
Parabola

JEE Main 2012 · 7 May · Online · Mathematics · Parabola

Statement 1: y=m x-(1)/(m) is always a tangent to the parabola,...

Statement 1: y=mx−1my=m x-\frac{1}{m} is always a tangent to the parabola, y2=−4xy^2=-4 x for all non-zero values of mm. Statement 2: Every tangent to the parabola, y2=−4xy^2=-4 x will meet its axis at a point whose abscissa is non-negative.

Options

  1. AStatement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
  2. BStatement 1 is false, Statement 2 is true.
  3. CStatement 1 is true, Statement 2 is false.
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

Correct answer

D. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

Step-by-step solution

Both the given statements are true. Statement −2-2 is not the correct explanation for statement −1-1.
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