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

If the roots of the equation `ax^(2) - bx + 5c = 0` are in the ratio of `4 : 5` , then

A

`ab = 18c^(2)`

B

`81b^(2) = 4ac`

C

`bc = a^(2)`

D

`4b^(2) = 81ac`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Use the concept of sum and product of the roots of quadratic equation.
(ii) Take the roots as `4alpha, 5alpha`.
(iii) Using the sum of the roots and product of the roots eliminate `alpha`.
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