Coordinate Geometry
Parabola
MMTS_Full_Test_20
Grade 12
Question:
Area of triangle formed by tangents from $(x_1,y_1)$ to $y^2=4ax$ and the chord of contact is
$\dfrac{(y_1^2-4ax_1)^{3/2}}{2a}$
$\dfrac{(y_1^2+4ax_1)^{3/2}}{2a}$
$\dfrac{(y_1^2-4ax_1)^{3/2}}{4a}$
$\dfrac{(y_1^2-4ax_1)^{1/2}}{2a}$
Step-by-Step Solution
Key Concept: Standard formula for area of triangle formed by pair of tangents from external point
Standard result: Area $=\frac{(y_1^2-4ax_1)^{3/2}}{2a}$.
Correct Answer: 1