A) A parabola
B) A hyperbola
C) An ellipse
D) A circle
Correct Answer: B
Solution :
If \[y=mx+c\] is tangent to the hyperbola then \[{{c}^{2}}={{a}^{2}}{{m}^{2}}-{{b}^{2}}\]. Here \[{{\beta }^{2}}={{a}^{2}}{{\alpha }^{2}}-{{b}^{2}}\]. Hence locus of P(a, b) is \[{{a}^{2}}{{x}^{2}}-{{y}^{2}}={{b}^{2}}\], which is a hyperbola.You need to login to perform this action.
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