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If the simultaneous linear equations in two variables `a^(2)x+b^(2)y=1 " and " x/(a^(2)+1)+y/(b^(2)+1)=k`, where `a ne b` and a, b, k are constants have no solution, then prove that `a^(2)+b^(2)+1=0`.

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CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.1
  1. Express the equation px+qy+r=0 in the form of y=mx+c where m and c are...

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  2. If u and v are real numbers and (u+3)^(2)+(v+5)^(2)=0, then find the v...

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  3. If x^(2)+y^(2)-6x-8y=-25, then find the values of x and y.

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  4. Find the values of x and y when x^(2)+y^(2)-2sqrt(2)x+2sqrt(5)y=-7.

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  5. Find the values of r for which the equations rx-y=3 and 4x-2y=5 will h...

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  6. Find the value of t for which the graphs of the simultaneous linear eq...

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  7. Find the value of k for which the graph of the simultaneous linear equ...

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  8. Find the values of a and b if the simultaneous linear equation ax-15y+...

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  9. Determine the condition for which the simultaneous linear equations bx...

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  10. Show that the solution set of the simultaneous linear equations 4x+3y=...

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  11. Express the following statements in the form of two simultaneous linea...

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  12. Express the following statements in the form of two simultaneous linea...

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  13. Express the following statements in the form of two simultaneous linea...

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  14. Solve each pair of the following simultaneous linear equations by draw...

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  15. Solve each pair of the following simultaneous linear equations by draw...

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  16. Solve each pair of the following simultaneous linear equations by draw...

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  17. If the simultaneous linear equations in two variables 8x+5y=7 and (a-b...

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  18. If the simultaneous linear equtions in two variables x+ry=r " and " x+...

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  19. Determine the values of k for which the simultaneous linear equations ...

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  20. If the simultaneous linear equations in two variables a^(2)x+b^(2)y=1 ...

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