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MHT CET2012MathematicsApplication of Derivatives

The length of normal at any point to the curve, y=c ( x c ) is

Options

  1. Afixed
  2. By² c²
  3. Cy² c
  4. Dy c²

Correct answer

C. y² c

Step-by-step solution

Given, y=c ( x c ) ...(i) d y d x =c 1 c ( x c )= ( x c ) Now, length of normal =y 1+ ( d y d x )² =c ( x c ) 1+ ² ~h ( x c ) =c ( x c ) ² ( x c ) =c [ ( x c ) ]²=c ( y c )² [ from Eq. (i)] = y² c

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