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If x^(2)-6x+5=0 and x^(2)-12x+p=0 have a...

If `x^(2)-6x+5=0 and x^(2)-12x+p=0` have a common root, then find p.

A

11 or 35

B

22 or 45

C

40

D

10

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A
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF (1-p) is a root of quadratic equation X^2 +px +(1-p)=0 the...

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  2. IF one root of the equation x^2 +px +12=0 is 4, while the equat...

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  3. If x^(2)-6x+5=0 and x^(2)-12x+p=0 have a common root, then find p.

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  4. If x^2-hx - 21 =0 , x^2 - 3hx +35 =0 have a common root then h=

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  5. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

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  6. IF the equation x^2-x-p=0 and x^2 + 2px -12 =0 have a common r...

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  7. IF x^2 +bx +c=0, x^2+cx +b=0 (b ne c) have a coomon root then ...

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  8. IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common...

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

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

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

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

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

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

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

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

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

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

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

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