Question

The equation of the transverse axis of the hyperbola

(x – 3)² + (y + 1)² = (4x + 3y)² is 

(a) 3x – 4y = 0

(b)  4x + 3y = 0

(c) 3x – 4y = 13

(d)  4x + 3y = 9 

Answer 1

Correct option  (c) 3x – 4y = 13

Explanation:

(x – 3)² + (y + 1)² = (4x + 3y)²

(x – 3)² + (y + 1)² = 25 (4x + 3y/5)²

^{PS = 5 PM}

Directrix is 4x + 3y = 0 and focus is (3,–1)

Equation of transverse axis is y + 1 = 3/4(x - 3)

3x - 4y = 13