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Let a, b, c be positive real numbers. Th...

Let `a, b, c` be positive real numbers. The following system of equations in `x, y` and `z` `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(c^2)=1, (x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(c^2)=1,(-x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(c^2)=1` has

A

no solution

B

unique solution.

C

infinitely many solutions

D

finitely many solution

Text Solution

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The correct Answer is:
B
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