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If the roots of the equation ax^(2) + bx...

If the roots of the equation `ax^(2) + bx + c = 0` are in the ratio of `3 : 4`,

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The correct Answer is:
`12b^(2) = 49 ac`
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PEARSON IIT JEE FOUNDATION-QUADRATIC EXPRESSIONS AND EQUATIONS-Short Ans
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  2. The square of one-sixth of the number of students in a class are stud...

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  3. If 2alpha and 3beta are the roots of the equation x^(2) + az +b = 0, t...

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  4. If alpha, beta are the roots of the quadratic equation lx^(2) + mx + n...

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  5. By a reduction of re.-1 per kg in the price of sugar Mohan can buy one...

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  6. The zeroes of the quadratic polynomial x^(2) - 24x + 143 are

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  7. Find the quadratic equation in x whose roots are (-7)/(2) and (8)/(3).

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  8. If k(1) and k(2) are roots of x^(2) - 5x - 24 = 0, then find the quad...

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  9. The product of the roots of the equation 1/(x+1) + (1)/(x-2) = (1)/...

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  10. The roots of the equation 2x^(2) + 3x + c = 0 (where x lt 0) could be ...

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  11. The roots of the equation 3x^(2) - 4sqrt(3x) + 4 = 0 are

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  12. If alpha and beta are the roots of the quadratic equation x^(2) + 3x -...

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  13. The roots of the equtation (x-3)/(x-2) + (2x)/(x+3) = 1, where x ne 2,...

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  14. If the roots of the quadratic equation 4x^(2) -16x + p = 0, are real ...

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  15. If one root of the quadratic equation ax^(2) + bx + c = 0 is 15 + 2sq...

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  16. If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3...

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  17. For which value of p among the following, does the quadratic equation ...

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  18. If the product of the roots of ax^(2) + bx + 2 = 0 is equal to the pro...

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  19. Find the roots of quadratic equation ax^(2) + (a-b + c) x - b +c = 0.

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  20. If (2x-9) is a factor of 2x^(2) + px - 9, then p = "".

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