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Question

Length of the straight line x  3y = 1 intercepted by the hyperbola x2  4y2 = 1 is



Your Answer
A

Your Answer
B

Your Answer
C

Correct Answer
D


Solution

The correct option is D


Intercept is the distance between

the points of intersection between the line and the hyperbola.

(3y + 1)2  4y2 = 1

9y2 + 1 + 6y  4y2  1 = 0

5y2 + 6y = 0

y(5y + 6) = 0

y = 0 or 65

x=1 or 185 + 1

points of intersection are

(1,0) and (135,65)

Intercept=(1+135)2 + (65)2

 =18225 + 3625

               =6105

Hence option (d)

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