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If the quadratic equations ax^(2)+bx+c=0...

If the quadratic equations `ax^(2)+bx+c=0(a,b,c epsilon R, a !=0)` and `x^(2)+4x+5=0` have a common root, then a,b,c must satisfy the relations

A

`1:2:3`

B

`2:3:4`

C

`4:3:2`

D

`3:2:1`

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The correct Answer is:
B
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DISHA PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS -Exercise -2 : Concept Applicator
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  5. A variable complex number z=x+iy is such that arg(z-1)/(z+1)= pi/2. S...

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  6. If arg(z) lt 0, then find arg(-z) -arg(z).

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  11. If (y^2-5y+3)(x 62+x+1)<2x for all x in R , then fin the interval in ...

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  12. Let x+1/x=1 and a, b and c are distict positive integer such that (x^(...

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  13. If z=(3+7i)(a+ib), where a, b in Z-{0}, is purely imaginery, then mini...

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  14. The value of lambda for which the sum of squares of roots of the equat...

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  15. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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  16. If alpha,beta are the roots of the equation ax^2+ bx +c =0, then alp...

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  17. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

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  18. Solve: x^(2) + 2 = 0

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  19. If a<b<c<d , then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 a...

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  20. If the cube roots of unity are 1,w w^2,then the roots of the equation ...

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  21. Find t values of the parameter a such that the rots alpha,beta of the ...

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