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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If the functions g(x)=x^2+a x+b and h(x)=c x-x^2 intersect and have the same tangent line at the point (1,0) , then find the value of (b+c-a) .

Correct answer

6

Step-by-step solution

aligned g(x) & =x^2+a x+b h(x) & =c x-x^2 1+a+b & =0 and 1-c=0 c & =1 g^ (1) & =m₁=2+a h^ (1) & =m₂=c-2=-1 g^ (1) & =h^ (1) a=-3 b & =2 aligned

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