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If the simultaneous linear equations a(1...

If the simultaneous linear equations `a_(1)x+b_(1)y+c_(1)=0 " and " a_(2)x+b_(2)y+c_(2)=0` have only one solution, then the required condition is -

A

`a_(1)b_(2)=a_(2)b_(1)`

B

`a_(1)b_(2)=b_(1)b_(2)`

C

`a_(1)a_(2)=b_(1)b_(2) ne c_(1)c_(2)`

D

`a_(1)b_(2) ne a_(2)b_(1)`

Text Solution

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The correct Answer is:
B
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CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. If the simultaneous linear equations a(1)x+b(1)y+c(1)=0 " and " a(2)x+...

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  2. The least natural numbers, by which the equations 4x-3y=16 and 6x+5y=6...

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  3. The least natural numbers, by which the equation 2x+3y=11 and 3x-4y=8 ...

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  4. The number, by which the equation 7x-5y+2=0 should be multiplied so th...

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  5. The constant term, by which the equation ax+by=c should be multiplied...

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  6. The number by which the equation (x+a)/a=(y+b)/b should be multiplied ...

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  7. The quantities, by which the equation px+qy=1 " and " qx+py=(a+b)^(2)/...

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  8. If x of the equation x/3+y/2=8 is expressed in term of y we get,

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  9. Solve the simultaneous linear equation in two variables px+qy+r=0 and ...

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  10. Find the quantity by which the the equation (a+b)(x+y)=a^(2)+b^(2) sho...

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  11. Eliminate t: x=at^(2), y=2at

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  12. Prove that x+y=5 when 101x+99y=499 and 99x+101y=501.

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  13. Express y of the equation (xy)/(x-y)=8 in term of x.

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  14. If y=(ax+b)/(cx+d), then express x in term of y.

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  15. Determine the value of y by eliminating x from the simultaneous linear...

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  16. Determine the value of x by substituting y=2/(5x+3) in the equation 2x...

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  17. Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equa...

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  18. Find the value of y if x=y/(1-9y) " and " x=(-y)/(1-5y).

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  19. Solve the following simultaneous linear equations in two variables by ...

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  20. Solve the following simultaneous linear equations in two variables by ...

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  21. Solve the following simultaneous linear equations in two variables by ...

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