From the point (4,6), a pair of tangent lines is drawn to the parabola y2=8 x. The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point (4,6) is

Question

From the point (4,6), a pair of tangent lines is drawn to the parabola y2=8 x. The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point (4,6) is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

A=((y12-4 a x1)3 / 2/2 a) ; x1=4 ; y1=6 ; a=2

Q. From the point $(4, 6)$ , a pair of tangent lines is drawn to the parabola $y^{2} = 8 x$ . The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point $(4, 6)$ is

$A = \frac{( y _{1}^{2} - 4 a x _{1} ) ^{3/2}}{2 a}; x_{1} = 4; y_{1} = 6; a = 2$

Q. From the point (4,6), a pair of tangent lines is drawn to the parabola y2=8x. The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point (4,6) is

A=2a(y12​−4ax1​)3/2​;x1​=4;y1​=6;a=2

Q. From the point $(4, 6)$ , a pair of tangent lines is drawn to the parabola $y^{2} = 8 x$ . The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point $(4, 6)$ is

$A = \frac{( y _{1}^{2} - 4 a x _{1} ) ^{3/2}}{2 a}; x_{1} = 4; y_{1} = 6; a = 2$