Hyperbola 2 Question 8

8. If the line 2x+6y=2 touches the hyperbola x22y2=4, then the point of contact is

(2004, 1M)

(a) (2,6)

(b) (5,26)

(c) 12,16

(d) (4,6)

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Answer:

Correct Answer: 8. (a, c, d)

Solution:

  1. The equation of tangent at (x1,y1) is xx12yy1=4, which is same as 2x+6y=2.

x12=2y16=42x1=4 and y1=6

Thus, the point of contact is (4,6).



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