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The values of the parameter a for w...

The values of the parameter a for which the quadratic equation ` ( 1- 2a ) x^2 - 6ax -1=0` and ` ax ^2 -x+1=0` have at least one root in common are

A

`0,1//2`

B

` 1//2 ,2//9`

C

` 2//9`

D

`0,1//2 ,2//9`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The number of real solution x^2-7 |x|+12 =0 is

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  17. The number of real roots of |x^(2)| - 5|x| + 6 = 0 is

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  18. If |x^2|+|x|-2=0 then x=

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  19. The product and sum of the roots of the equation | x^2 | -5|x|-24...

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  20. The real roots of the equation |x^2 +4x +3|+2x +5 =0 are

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