The equation of the chord of contact of tangents $(1, 2)$ to the hyperbola ${3 x}^{2} - {4 y}^{2} = 3$ is

3 x - 16 y = 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x - 8 y - 3 = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{x}{3} - \frac{y}{4} = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{x}{4} - \frac{y}{3} = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $3 x - 8 y - 3 = 0$
The equation of the chord of contacts of tangents drawn from $(1, 2)$ to the hyperbola $3 x^{2} - 4 y^{2} = 3$ is given by $T = 0$
$\Rightarrow 3 x (1) - 4 y (2) = 3 \Rightarrow 3 x - 8 y - 3 = 0$

Suggest Corrections

Similar questions

(1, 2)

3 x^{2} - 4 y^{2} = 3

Find the equation to the chord of contact of tangents drawn from a point p(4, 3) to the hyperbola

$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$

Equation of the conjugate axis of the hyperbola $5 x^{2} - 4 y^{2} - 30 x - 8 y - 39$ = 0

Find the equation of the chord of contact of tangents to the parabola
$y^{2} = 4 x$ from the point $P (3, 4)$ .

Find the equation to the chord of contact of tangents drawn from a point p(4, 3) to the hyperbola

$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$

Join BYJU'S Learning Program