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If the equation x^(2) + 4x - k = 0 has r...

If the equation `x^(2) + 4x - k = 0` has real and distinct roots, then

A

`k lt - 4`

B

`k gt - 4`

C

`k le - 4`

D

`k ge - 4`

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MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
  1. If alpha and beta are the roots of the equation x^(2) + bx + c = 0, th...

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  2. The roots of the equation x^(2) -2 sqrt(2) x + 1 = 0 are

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  3. If the equation x^(2) + 4x - k = 0 has real and distinct roots, then

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  4. If ax^(2)+bx+c=0 has equal roots, find the value of c.

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  5. If the quadratic equation mx^2+2x+m=0 has two equal roots, then the v...

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  6. The value of sqrt(6+sqrt(6+sqrt(6+..oo))) is

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  7. If the equation x^(2)- bx+ 1 = 0 does not possess real roots, then whi...

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  8. If x = 1 is a common root of the equations ax^(2) + ax + 3 = 0 and x^(...

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  9. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of th...

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  10. The roots of the equations 2x - (3)/(x) = 1 are

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  11. For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and eq...

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  12. The equation k^(2) x^(2) + kx + 1 = 0 has

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  13. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)...

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  14. For what value of k, the equation x^(2) + 4kx + 4 = 0 has equal roots...

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  15. If alpha , beta roots of the equations x^(2) - 5x + 6 = 0, find the va...

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  16. An integer when added to its square equals 182. One of the integer is

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  17. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  18. Study the statement carefully. Statement I : Both the roots of the e...

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  19. Two numbers differ by 3 and their product is 504. Find the number.

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  20. Find the value of k for the equation 2x^(2) + kx + 2 = 0, if it has eq...

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