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The quadratic equation x-6x+a =0 a...

The quadratic equation ` x-6x+a =0` and ` x^2-cx +6=0` have one root in common the other roots of the first and second equations are integers in the ratio 4 : 3 then the common root is

A

4

B

3

C

2

D

1

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF the equations x^2+2x +3=0 and ax^2 +bx +c=0 ,a,b,c in R hav...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The value of 'a' for which the equation x^3 + ax +1=0 and x^...

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  17. IF alpha , beta are the roots of x^2 +px +q=0 and also of x^(...

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  18. IF a,b,c are in A. P and if ( b-c )^2+(c-a)x+ (c-a ) x+(a-b) =0 a...

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  19. If 12^(4+2x^(2)) = (24sqrt(3))^(3x^(2)-2), then x =

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  20. for the equation | x|^2 +|x|-6=0 the roots are

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