Length of the straight line intercepted by the hyperbola is
Explanation for correct option:
Step-1 : Finding the intercept points:
Given equation of straight line is,
And equation of hyperbola is,
Solving equation and we get,
Substituting this in equation we get,
:
Substituting in equation we get,
Substituting in equation we get,
Hence, the two points are and
Step-2 : Finding the length of the straight line
Now the distance between these two points is,
Therefore the length of a straight line intercepted by given hyperbola is equal to .
Hence, option (B) is the correct answer.