AP EAMCET · Maths · Application of Derivatives
If is a tangent to the curve at , then the values of are
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
y2=ax4+b ⇒2ydydx=4ax3 ⇒dydx=4ax32y Slope of tangent at 3,6=4a×2712=9a Given equation of tangent y=4x-6 Slope of tangent =4 ⇒9a=4 ⇒a=49 3,6 lies on y2=ax4+b ⇒36=49×81+b ⇒b=0 Hence, a=49 & b=0
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