Show that a, b, c are in arithmetic progressions, Mathematics

Assignment Help:

If the roots of the equation (b-c)x2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP.

Ans:    Refer sum No.12 of Q.E.

If (b-c)x2 + (c-a)x + (a-b)x have equal root.

B2-4AC=0.

Proceed as in sum No.13 of Q.E to get c + a = 2b

⇒ b - a = c - b

⇒ a, b, c are in AP

 


Related Discussions:- Show that a, b, c are in arithmetic progressions

Numerical analysis and computer techniques, write a fortan programme to gen...

write a fortan programme to generate prime number between 1 to 100

Profit and loss, a man buy car at rs.50 and sells it at gain of 14% find ...

a man buy car at rs.50 and sells it at gain of 14% find the sp

Rocks and minerals, question..how do u understand thr rock cycle

question..how do u understand thr rock cycle

Purely imaginary number, It is totally possible that a or b could be zero a...

It is totally possible that a or b could be zero and thus in 16 i the real part is zero.  While the real part is zero we frequently will call the complex numbers a purely imaginar

Find out ratio, the sides of a right angle triangle are a,a+d,a+2d with a a...

the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d  a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying

Numerical Analysis, Hello there I have question about convergence of pth ...

Hello there I have question about convergence of pth root of square matrix? Do you have any expert in numerical analysis ?

What was brian''s total commission on these three sales, Brian is a real es...

Brian is a real estate agent. He forms a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for $153,000, $299,000, and $121,000. What was

Determine the approximate raw act score, Using the same mean and standard d...

Using the same mean and standard deviation as mean m = 20.1 and a standard deviation s = 5.8. Joe was informed that he scored at the 68 th percentile on the ACT, what was Joe's ap

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd