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

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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

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