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Question

Mathematics Question on Hyperbola

For a hyperbola x2a2y2b2=1,C1\frac{x^2}{a^2} - \frac{y^2}{b^2}=1, C_1 is a circle touching hyperbola having centre at origin and C2C_2 is circle centred at four and touching hyperbola at vertices, if area of C1=36πC_1= 36π and area of C2=4πC_2 = 4π. Find a2+b2a_2 + b_2 = ?

A

40

B

43

C

64

D

56

Answer

64

Explanation

Solution

The Correct answer is option(C) : 64