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If beta + cos ^(2) alpha, beta + sin ^(2...

If `beta + cos ^(2) alpha, beta + sin ^(2) alha ` are the roots of `x ^(2) + 2 bx +c=0 and gamma + cos ^(4) alpha, gamma + sin ^(4) alpha ` are the roots of `x ^(2) + 2Bx+C=0,` then :

A

`b-B =c-C`

B

`b ^(2) -B^(2)=c-C`

C

`b ^(2) -B^(2) =4(c-C)`

D

`(b^(2) -B^(2))=C-C`

Text Solution

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The correct Answer is:
B
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VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  11. The number of all values of n, (whre n is a whole number ) for which t...

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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 the roots of the equation x^2-8...

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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) be a polynomial equation of least possible degree, with rati...

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  21. The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=...

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