Hyperbola 2 Question 10

10. If 2xy+1=0 is a tangent to the hyperbola x2a2y216=1 then which of the following CANNOT be sides of a right angled triangle?

(2017 Adv.)

(a) a,4,1

(b) 2a,4,1

(c) a,4,2

(d) 2a,8,1

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Answer:

Correct Answer: 10. (a,b)

Solution:

  1. Tangent 2xy+1=0

Hyperbola x2a2y216=1

It point (asecθ,4tanθ)

 tangent xsecθaytanθ4=1

On comparing, we get secθ=2a

tanθ=44a216=1a=172

Substitute the value of a in option (a), (b), (c) and (d).



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