Q51 / 90 · JEE Main 2012 (07 May Online) · Mathematics

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

  • A
    Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
  • B
    Statement 1 is false, Statement 2 is true.
  • C
    Statement 1 is true, Statement 2 is false.
  • Correct answer
    D
    Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

Solution

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

Hence, the correct answer is option: 'D'.

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