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In the pair of linear equations a(1)x +...

In the pair of linear equations ` a_(1)x +b_(1)y +c_(1)=0` and `a_(2)x +b_(2)y +c_(2)=0` if `(a_(1))/(a_(2)) ne (b_(1))/(b_(2))` then the

A

equation have no solution

B

equations have unique solution

C

equations have three solutions

D

equations have infinitely many solutions

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • In the pair of linear equations a_(1)x+b_(1)y+c_(1)=0" and "a_(2)y+b_(2)y+c_(2)=0" if "a_(1)/a_(2) ne b_(1)/b_(2) then the

    A
    equations have no solution
    B
    equations have unique solution
    C
    equations have three solutions
    D
    equations have infinitely many solutions

  • If the equation of the locus of a point equidistant from the points (a_(1), b_(1)) and (a_(2), b_(2)) is : (a_(1)-a_(2))x+(b_(1)-b_(2))y+c=0 , then c =

    A
    `a_(1)^(2)-a_(2)^(2)+b_(1)^(2)-b_(2)^(2)`
    B
    `(1)/(2)(a_(1)^(2)+a_(2)^(2)+b_(1)^(2)+b_(2)^(2))`
    C
    `sqrt(a_(1)^(2)+b_(1)^(2)-a_(2)^(2)-b_(2)^(2))`
    D
    `(1)/(2) (a_(2)^(2)+b_(2)^(2)-a_(1)^(2)-b_(1)^(2))`

  • If the ratio of the roots of a_(1)x^(2) + b_(1) x + c_(1) = 0 be equal to the ratio of the roots of a_(2) x^(2) + b_(2)x + c_(2) = 0 , then (a_(1))/(a_(2)) , (b_(1))/(b_(2)) , (c_(1))/(c_(2)) are in :

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    None of these

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