AP EAMCET · Maths · Application of Derivatives
If is a tangent to the parabola then their point of contact is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
y2=6x ⇒2ydydx=6 ⇒dydx=36x→slope of tangent Also, 5x-2y+k=0 ⇒y=52x+k2 Comparing with the standard form of line in slope intercept form, we get m=52→slope Therefore, 36x=52 ⇒32×3·x=52 ⇒3x=52 ⇒x=65 ⇒x=625…
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