AP EAMCET · Maths · Application of Derivatives
If the straight line touches the curve at the point on it and then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
The line xcosα+ysinα=p is a tangent to xan+ybn=2 at a,b. Differentiating xan+ybn=2, we get nanxn-1+nbnyn-1dydx=0 i.e. dydxa,b=-ba Now equation of tangent at a,b will be y-b=-bax-a⇒ay-ab=-bx+ab ⇒bx+ay=2ab Comparing with xcosα+ysinα=p, we get…
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