Question

If the tangent and the normal drawn to the curve $xy^2 + x^2y = 12$ at the point (1,3) meet the X-axis in T and N respectively, then TN =

• A. $7/5$
• B. $45/7$
• C. $3\sqrt{274}/7$
• D. $274/35$

Hint:

To find the x-intercept of a line, set $y=0$ in its equation. The distance between two points on the x-axis, $(x_1, 0)$ and $(x_2, 0)$, is simply $|x_1 - x_2|$.

Answer 1

The Correct Option is D