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Find the values of a if x^2-2(a-1)x+(2a+...

Find the values of a if `x^2-2(a-1)x+(2a+1)=0` has positive roots.

A

`a gt 0`

B

`0 lt a lt 4`

C

`a ge 4`

D

none of these

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The correct Answer is:
C
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
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  3. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

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  4. If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then

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  6. If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3...

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  9. If the roots of the equation bx^(2)+cx+a=0 be imaginary, then for all ...

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  10. If cos^(4) x + sin^(2) x -lamda =0, lamda in R has real solutions, the...

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  11. If the roots of x^(2)+x+a=0 exceed 'a' ,then

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  12. The range of values of m for which the equation (m-5) x^(2)+2(m-10) x+...

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  13. The equation ax^(2) +bx+c=0 where a,b,c are real numbers connected by ...

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  14. If a,b,c in R and a+b+c=0, then the quadratic equation 4ax^(2)+3bx +2c...

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  15. If a,b,c are positive and are in A.P., the roots of the quadratic equa...

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  16. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,w h e r ea c!=0, then prove th...

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  19. Real roots of the equation x^(2)+5|x|+4=0 are

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