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If the sum of squares of roots of equati...

If the sum of squares of roots of equation `x^(2)-(sin alpha-2)x-(1+sin alpha)=0` is the least, then `alpha` is equal to

A

`pi//4`

B

`pi//3`

C

`pi//2`

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  6. If a, b,c are all positive and in HP, then the roots of ax^2 +2bx +c=0...

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  8. If the roots of the equation x^2+2a x+b=0 are real and distinct and th...

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  9. |[1,cos(alpha-beta), cos alpha] , [cos(alpha-beta),1,cos beta] , [cos ...

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  10. Let alpha "and " beta be the roots of the equation ax^(2)+bx+c=0. Let ...

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  11. ifa=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose ...

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  12. The integral value of for which the root of the equation m x^2+(2m-1)x...

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  14. If the sum of squares of roots of equation x^(2)-(sin alpha-2)x-(1+sin...

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  15. p, q, r and s are integers. If the A.M. of the roots of x^(2) - px + q...

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  16. If alpha, beta, gamma be the roots of x^(3) + a^(3) = 0 (a in R), then...

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  17. If alpha,beta re the roots of a x^2+c=b x , then the equation (a+c y)^...

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  18. If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, t...

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  19. The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^...

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  20. If f(x) = sum(k=2)^(n) (x-(1)/(k-1))(x-(1)/(k)), then the product of r...

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