Hyperbola 1 Question 13

14.

The equation x21−r−y21+r=1,|r|<1 represents

(a) an ellipse

(b) a hyperbola

(c) a circle

(d) None of these

(1981, 2M)

Show Answer

Answer:

Correct Answer: 14. (b)

Solution:

  1. Given equation is x21−r−y21+r=1, where |r|<1

⇒1−r is (+ve) and 1+r is (+ve)

∴ Given equation is of the form x2a2−y2b2=1.

Hence, it represents a hyperbola when |r|<1.

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