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Let alpha , beta, gamma, delta are roots...

Let `alpha , beta, gamma, delta` are roots of `x ^(4) -12x ^(3) +lamda x ^(2) -54 x+ 14 +14=0` If `alpha + beta =gamma + delta, ` then

A

`lamda =45`

B

`lamda =-45`

C

`If alpha ^(2) + beta ^(2)lt gamma ^(2), delta ^(2) ` then `(alpha beta)/(gamma lemda )= 7/2`

D

If ` alpha ^(2)+ beta ^(2) lt gamma ^(2) +delta ^(2) =(alpha beta)/(gamma delta) =2/7`

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The correct Answer is:
A, C
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VIKAS GUPTA (BLACK BOOK)-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  17. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

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