Question

If the angle between the curves \[ y^2=4x \] and \[ y=ax^2-5 \] at the point \((1,2)\) is \(\alpha\), then \[ (a-2)|\tan\alpha| = ? \]

• A. \(1\)
• B. \(3\)
• C. \(\frac{5}{13}\)
• D. \(\frac{13}{5}\)

Hint:

To find the angle between curves, first find the slopes of their tangents at the point of intersection and then apply the tangent-angle formula.

Answer 1

The Correct Option is D