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MHT CET202121 Sep 2021Evening ShiftMathematicsStraight LinesActual

If p is the length of the perpendicular from origin to the whose intercepts on the axes are a and b , then 1 a^2 + 1 b^2 =

Options

  1. Ap ^2
  2. B1 2 p^2
  3. C2 p ^2
  4. D1 p ^2

Correct answer

D. 1 p ^2

Step-by-step solution

Refer image Equation of given line is Distance of line (1) from origin is aligned & |-a b| a^2+b^2 =p a^2+b^2= a^2 b^2 p^2 & a^2+b^2 a^2 b^2 = 1 p^2 1 a^2 + 1 b^2 = 1 p^2 aligned

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