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MHT CET202314 May 2023Morning ShiftMathematicsStraight LinesActual

p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b respectively, then 1 a ^2 + 1 ~b ^2 equals

Options

  1. Ap ^2
  2. B2 p ^2
  3. C1 p ^2
  4. D1 2 p^2

Correct answer

C. 1 p ^2

Step-by-step solution

Let the equation of the line be x a + y ~b =1 According to the given condition, aligned & p = | ab a ^2+b^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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