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

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

A

`2 lt a lt 3`

B

`a gt 3`

C

`-3 lt a lt 3`

D

`a lt -1/2`

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The correct Answer is:
D
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
  1. If the roots of the equation bx^(2)+cx+a=0 be imaginary, then for all ...

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

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

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

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

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

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

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

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

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

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

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

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  14. The number of solutions of the equation sin e^(x)=5^(x)+5^(-x) is

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  15. The number of real roots of the equation (x+3)^(4)+(x+5)^(4)=16 is

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  16. The number of real solutions of the equation ((5)/(7))^(2)=-x^(2)+2x-3...

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  17. If a and b (ne 0) are the roots of the quadratic x^(2)+ax+b=0 then the...

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  18. If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

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  19. If a, b, c in R and 2a + 3b + 6c = 0, then the equation ax^(2) + bx + ...

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  20. If (ax^(2)+c) y+(dx^(2)+c')=0 and x is a rational function of y and a...

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