JEE Main 2021 (18 Mar, Shift 2) Maths Q79: Conic Sections

Question

Consider a hyperbola H : $x^2-2y^2=4$. Let the tangent at a point P $(4, \sqrt{6})$ meet the $x$-axis at Q and latus rectum at R $(x_1, y_1)$, $x_1>0$. If F is a focus of H which is nearer to the point P, then the area of $\Delta$QFR is equal to .

Accepted Answer

Option 2: $\frac{7}{\sqrt{6}}-2$

Answer

$\sqrt{6}-1$

Answer

$\frac{7}{\sqrt{6}}-2$

Answer

$4\sqrt{6}-1$

Answer

$4\sqrt{6}$

JEE Main 18 March 2021, Shift 2, Maths Q79