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The least integral value of 'a' for whi...

The least integral value of `'a'` for which the equation `x^2+2(a - 1)x + (2a + 1) = 0` has both the roots positive, is

A

1

B

3

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. If alpha, beta in R, are the roots of the equation ax^(2)+bx+c=0, k in...

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  2. If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then ...

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  3. The least integral value of 'a' for which the equation x^2+2(a - 1)...

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  4. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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  5. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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  6. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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  7. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

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  8. If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the val...

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  9. The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...

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  10. The difference of maximum values of the expressions (6 + 5x - x^(2)) ...

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  11. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

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  12. The equation 3^(x-1)+5^(x-1)=34 has

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  13. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  14. The values of the parameter a for which the quadratic equations (1 – 2...

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  15. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  16. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  17. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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  18. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

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  19. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

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  20. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

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