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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

A

unique

B

finitely many

C

infinitely many

D

does not exist

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The correct Answer is:
A
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ML KHANNA-DETERMINANTS -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
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  6. x+ ay = 0, y + az=0, z+ ax=0 The value of a for which the system of eq...

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  7. If the system of equations x= a(y+z), y=b(z + x), z=c(x + y),(a,b,cne ...

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  8. If the system of equations x + ay + az = 0 bx + y + bz = 0 cx + ...

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  9. If ane p , b ne q , c ne r and |(p,b,c),(a,q,c),(a,b,r)|=0 , then p/(...

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  10. If x,y,z are not all zeros and ax+ y +z=0, x+by +z=0, x + y + cz=0 th...

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  11. If the equations x + ay – z=0,2x -y + az=0 and ax + y + 2z=0 are consi...

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  12. If the equations ax+by + cz=0, bx + cy + az=0 and cx + ay + bz=0 have ...

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  13. If the equations (b + c) x+(c+a) y +(a+b)z =0, cx+ay+bz=0, ax+by+cz=...

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  14. If a gt b gt c and the system of equtions ax +by +by +cz =0,n bx +cy+a...

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  15. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

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  16. The number of values of k for which the system of equations (k+1) x+...

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  17. Let a ,b , c be the real numbers. The following system of equations in...

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  18. The system of equations lamdax+y +z=1, x+lamday+z=lamda and x+y+lamdaz...

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  19. 2x - y - 2z=2, x-2y+z=-4, x+y + lamdaz=4 then the value of lamda such...

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  20. A line AB in three-dimensional space makes angles 45^@ and 120^@ with...

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