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If the equation x^2 +2(a+1)x+9a−5=0 has...

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

A

`a le 6`

B

`a ge 6`

C

`a le 0`

D

`a ge 0`

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The correct Answer is:
B
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
  1. If the equation ax^(2)+bx+c=0 (a gt 0) has two roots alpha and beta su...

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

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

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  4. The value of k for which both the roots of the equation 4x^(2)-20kx+(2...

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

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  6. If both the roots of the equation x^(2)-12kx+k^(2)+k-5=0 are less than...

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  7. If both the roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 exceed 3, th...

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

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

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

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

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

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

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

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  15. 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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  16. If a, b, c are positive and a = 2b + 3c, then roots of the equation ax...

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  17. If a,b,c are positive real numbers, then the number of real roots of t...

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

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  19. The number of real roots of the equation (sin 2^(x)) cos (2^(x))=(1)/(...

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  20. The number of solutions of the equation 5^(x)+5^(-x) =log(10)25, x in ...

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