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# CBSE Class 11-science Answered

questions 6
Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM Expert Answer
Part-(i)

x2 - px + q = 0

roots of the above quadratic equation are :- Ratio of the roots  :- By cross multiplication and after simplification, we get , p2 = 9 ( p2 - 4 q )   or    2p2 = 9q   or     p2 = (9/2) q

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part - ( ii )

Given quadratic equation :-   q x2 + p x + q = 0

if roots are imaginary, then we have ,  p2 - 4 q2 < 0    or    p2 < 4 q2   or   p < 2q

since p > 0 , we get the condition  0 < p < 2q

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part - ( iii )

if ax2 + bx + c = 0  has exactly one root x= 0 , then  c = 0

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Part-(iv)

given quadratic equation :-  4x2 + 2bx + c = 0

if b = 0 , then 4x2 + c = 0

above equation has imaginary roots and they are , Hence ratio of imaginary roots :- 1 : -1
Answered by Thiyagarajan K | 15 Oct, 2020, 09:37: AM

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