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If x = 1 is a common root of the equatio...

If x = 1 is a common root of the equations `ax^(2) + ax + 3 = 0 and x^(2) + x + b = 0`, then ab =

A

3

B

3.5

C

6

D

-3

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MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
  1. The value of sqrt(6+sqrt(6+sqrt(6+..oo))) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

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  17. Divide 16 into two parts such that twice the square of the larger p...

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  18. Out of a number of saras birds, one-fourth of the number are moving ab...

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  19. A farmer wishes to grow a 100m^2 rectangular vegetable garden. Since h...

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  20. Find the vlaue of k for which the roots of the equation kx (3x - 4) + ...

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