Request a call back

questions 6
Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM
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

---------------------------------
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

------------------------------------------
part - ( iii )

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

----------------------------------------
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

Concept Videos

CBSE 11-science - Maths
Asked by sdmbotch1123 | 18 Jan, 2023, 11:01: PM
CBSE 11-science - Maths
Asked by rajshekhara348 | 20 Jun, 2022, 11:23: PM
CBSE 11-science - Maths
CBSE 11-science - Maths
Asked by Suchismitasingha18 | 07 Aug, 2021, 04:44: PM
CBSE 11-science - Maths
Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM
CBSE 11-science - Maths
Asked by ssroul.tcbls | 02 Jul, 2020, 07:15: PM