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Let a ,b , c be the real numbers. The fo...

Let `a ,b , c` be the real numbers. The following system of equations in `x ,y ,a n dz` `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1` has (a.) no solution (b). unique solution (c). infinitely many solutions (d). finitely many solutions

A

(a) `6`

B

(b) `7`

C

(c) `8`

D

(d) `9`

Text Solution

Verified by Experts

The correct Answer is:
D
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