MHT CET2011MathematicsApplication of Derivatives

If x+y=k is normal to y²=12 x , then k is

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Correct answer

B. 9

Step-by-step solution

Let x+y=k be normal to y²=12 x at P( , ) ²=12 Also, slope of normal at P( , ) is -1 Form, Eq.(i), aligned d y d x &= 6 y ( d y d x )_ P &= 6 aligned -1= -1 6 / =6, =3 P is (3,6) which lies on x+y=k 3+6=k k=9

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