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If the roots of the equation 3ax^(2) + 2...

If the roots of the equation `3ax^(2) + 2bx + c = 0` are in the ratio 2 : 3, then which one of the following is correct ?

A

`8ac = 25b^(2)`

B

`8ac = 9b^(2)`

C

`8b^(2) = 9ac`

D

`8b^(2) = 25ac`

Text Solution

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The correct Answer is:
D
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PUNEET DOGRA-QUADRATIC EQUATIONS-PREV YEAR QUESTIONS
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  2. What is the degree of the equation (1)/(x-3) = (1)/(x + 2) - (1)/(2) ?

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

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  5. If the roots of the quadratic equation 3x^(2) - 5x + p = 0 are real an...

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  6. If the roots of a quadratic equation are m + n and m - n, then the qua...

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  7. If alpha, beta are the roots of x^(2) + px -q = 0 and lambda, delta ar...

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  8. What is the sum of the sqares of the roots of the equation x^(2) + 2x ...

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  9. If one of the roots of the equation x^(2) + ax - b = 0 is, 1 then what...

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  10. If alpha and beta are the roots of equation x^(2) - q(1 + x) - r = 0 t...

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  11. If the difference between the roots of ax^(2) + bx +c = 0 is I. then w...

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  12. The equation formed by multiplying each root of ax^(2) + bx + c = 0 by...

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  13. The equation formed by multiplying each root of ax^(2) + bx + c = 0 by...

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  14. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

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  15. What is the value of y=sqrt(8+2sqrt(8+2sqrt(8+2sqrt(8+oo)))) (a)10 (...

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  16. Let alpha,betabe the roots of the equation (x-a)(x-b)=c,c!=0 then the...

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  17. The equation x^(2) - 4x + 29 = 0 has one root 2 + 5i What is the other...

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  18. If one of the roots of the equation a(b -c) x^(2) + b (c -a) x + c (a ...

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  19. What are the roots of the equations 2(y + 2)^(2) - 5(y + 2) = 12?

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  20. If the roots of the equation 3x^(2) - 5x + q = 0 are equal, then what ...

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