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If one of the values of x of the equatio...

If one of the values of x of the equation `2x^(2)-6x + k= 0 " be " (1)/(2) (a+5i)`, find the values of a and k.

A

`alpha =3, k =8`

B

` alpha = 3/2, k =17`

C

`alpha =-3, k =-17`

D

`alpha =3, k =17`

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The correct Answer is:
D
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  3. Let a,b,c,d be distinct integers such that the equation (x-a) (x-b) (x...

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  6. If the equation (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then...

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  10. The number of real values of 'a' for which the largest value of the fu...

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  11. The number of all values of n, (whre pi is a whole number ) for which ...

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  12. The number of negative intergral values of m for which the expression ...

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  13. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

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  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

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  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

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  16. The sum of all real values of k for which the expression x ^(2)+2xy +k...

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  17. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

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  18. Find the number of integral vaues of 'a' for which the range of functi...

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  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

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  20. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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