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

A

`pm 5`

B

`pm 13`

C

`pm 6`

D

`pm 7`

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MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
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  2. For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and eq...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If the equation x^2-3kx+2e^(2logk)-1=0 has real roots such that the pr...

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  18. A school decided to award prizes to the most punctual and the most obe...

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  19. The sum of the lives of the electric lamps one C.F.L and other ordianr...

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  20. The number of real roots of the equation (x - 1)^(2) + (x -2)^(2) + (x...

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