Home
Class 12
MATHS
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

Promotional Banner

Similar Questions

Explore conceptually related problems

Let a,b,c be the real numbers.The following system of equations in x,y, and z(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

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

The pair of equations x+2y+5=0 and -3x-6y+1=0 has (a) a unique solution (c) infinitely many solutions(d) no solution (b) exactly two solutions

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has (a) a unique solution (c) infinitely many solutions (b) exactly two solutions (d) no solution