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

If the quadratic equations `ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)` have a common root, then show that `a+4b+4c=0`

A

`-2`

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common...

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  2. IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b...

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  3. If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)...

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  4. If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and secon...

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  5. IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first eq...

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  6. IF the equations x^2+2x +3=0 and ax^2 +bx +c=0 ,a,b,c in R hav...

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  7. IF x^2 +P1 x+q1 =0, x^2 +p2 x +q2=0 , x^2 +p3 x+q3=0 has a coomon...

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  8. The quadratic equation x-6x+a =0 and x^2-cx +6=0 have one ro...

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  9. If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root the...

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  10. IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then ...

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  11. IF (x-2) is a common factor of the expression x^2 + ax + b ...

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  12. IF alpha , beta are the roots of ax ^2 + bx + c=0, alpha 1 ,...

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  13. The values of the parameter a for which the quadratic equatio...

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  14. IF x^2+ ax +b, x^2 + cx +d has the common factor x-1 then a+...

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  15. If ax ^2 + 2bx + c=0 , a 1x^2 + 2b 1 x + c1 =0 have a common ...

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  16. IF ax^2 + 2bx +c=0 , and px^2 + 2 qx + r=0

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  17. if P,q, r, s in R such that p r= 2 ( q+ s) then

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  18. IF every pair from the equation x^2 +px +qr =0 , x^2 +qx + rp...

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  19. IF the equation k ( 6 x^2 + 3) + rz + 2x^2 -1=0 and 6k ( 2 x^...

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  20. The equation ax^2 + bx + a=0 (a ,b, in R ) and x^3 -2x^2+2x...

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