Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

if the roots of the equation
Asked by renukasahu8 | 19 Oct, 2010, 09:23: PM
answered-by-expert Expert Answer
Dear Student,
If the roots are equal then the discriminant must be zero.
(-2(ac+bd))2 - 4(a2+b2)(c2+d2) = 0
4(ac+bd)2 - 4(a2+b2)(c2+d2) = 0
(ac+bd)2 = (a2+b2)(c2+d2
a2c2 + 2abcd + b2d2 = a2c2 + a2d2 + b2c2 + b2d2 
2abcd  =  a2d2 + b2c2  
a2d2 - 2abcd + b2c2 = 0   
(ad - bc)2 = 0
ad - bc = 0
ad = bc
a/b = c/d
Hence proved.
regards,
Team,
TopperLearning.
Answered by | 19 Oct, 2010, 09:37: PM
CBSE 10 - Maths
Asked by afiyamallick12 | 23 Feb, 2024, 11:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by goyelgurav | 18 Dec, 2023, 11:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Kunalbaniya384 | 25 Nov, 2023, 08:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mehraharshit.dk000 | 05 Oct, 2023, 08:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ruchipandey20071978 | 21 May, 2023, 10:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by varma.renu9481 | 25 Jan, 2023, 04:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by yogitamanojkumar | 09 Jan, 2023, 04:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
hi
question image
Asked by chaudahryanshika | 03 Jan, 2023, 10:04: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×