Hyperbola 2 Question 14

14. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is

(a) 2x5y20=0

(b) 2x5y+4=0

(c) 3x4y+8=0

(d) 4x3y+4=0

Integer Answer Type Question

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Solution:

  1. Equation of tangent to hyperbola having slope m is

y=mx+9m24

Equation of tangent to circle is

y=m(x4)+16m2+16

Eqs. (i) and (ii) will be identical for m=25 satisfy.

Equation of common tangent is 2x5y+4=0.



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