Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If h R- 0 2 distinct tangents can be drawn from the points (2+h, 3 h-1) to the curve y=x^3-6 x^2-a+b x . Find the value of a b (where a and b are co-prime).

Correct answer

Step-by-step solution

(2+h, 3 h-1) lies on the line y=3 x-7 This must be the line at point of inflection aligned y^ & =3 x^2-12 x+b y^ & =6 x-12=0 x & =2 aligned (2,-1) lies on the curve 2 b-a=15 ...(1) Also . d y d x |_ x=2 =12-24+b=b-12=3 a=15 and b=15 a b =1

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