Question

The tangent lines to the curve \( y^2 = 4ax \) at points where \( x = a \), are

• A. parallel
• B. perpendicular
• C. inclined at \( 60^\circ \)
• D. inclined at \( 30^\circ \)

Hint:

The tangents to the parabola \( y^2 = 4ax \) at certain points can be determined by differentiating the equation and evaluating at those points.

Answer 1

The Correct Option is B

The tangent lines to the parabola \( y^2 = 4ax \) are perpendicular at the points where \( x = a \), since the slopes of the tangents at these points satisfy the condition of being perpendicular.
Final Answer: \[ \boxed{\text{perpendicular}} \]