Applications-Of-Derivatives Question 444

Question: The slope of tangent to the curve $ x=t^{2}+3t-8 $ , $ y=2t^{2}-2t-5 $ at the point (2, ?1) is

[MNR 1994]

Options:

A) $ \frac{22}{7} $

B) $ \frac{6}{7} $

C) ? 6

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ t=2 $ for the point (2,?1) $ \frac{dy}{dx}=\frac{4t-2}{2t+3}=\frac{6}{7} $ for $ t=2 $ .