Chord of Contact: Hyperbola

Q.

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

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

1. 3x - 4y = 12

2. 4x + 3y = 12

3. 4x - 3y = 12

4. 3x + 4y = 12

Q. The locus of the middle points of chords of hyperbola $3x^2-2y^2+4x-6y=0$ parallel to y = 2x, is

1. 3x – 4y = 4
2. 3y – 4x + 4 = 0
3. 4x – 4y = 3
4. 3x – 4y = 2

Q.

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

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

1. 4x + 3y = 12

2. 4x - 3y = 12

3. 3x + 4y = 12

4. 3x - 4y = 12

Q. From any point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, tangents are drawn to the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=2$ . Then, area cut-off by the chord of contact on the asymptotes is equal to

1. a/2 sq unit
2. ab sq unit
3. 2ab sq unit
4. 4ab sq unit