Question

The distance between the tangents to the hyperbola 4x² − 9y² = 1 parallel to the line 5x − 4y + 7 =0 is

Answer 1

Correct option  (a)

Explanation :

The given hyperbola is

x²/1/4 - y²/1/9 = 1

and the line is

y = (5/4)x + 7/4

Any line parallel to this line is

y = (5/4)x + c

This will touch the hyperbola which implies that

Hence, the tangents are

Hence, the distance between these tangents is