AP EAMCET · Maths · Application of Derivatives
The number of those tangents to the curve which pass through the point is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let Pα,β be any point on the curve y2-2x3-4y+8=0 Now, 2ydydx-6x2-4dydx=0 ⇒ 2y-4dydx-6x2=0 ⇒ dydx=6x22y-4 Thus, slope =m=dydxP=6α22β-4 Now, the equation of the tangent at P is y-β=6α22β-4x-α which is…
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