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

What are the basic elements of reasoning, What are the Basic Elements of Re...

What are the Basic Elements of Reasoning ? There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like d

Obligatory application and interpretation problem, Obligatory application/i...

Obligatory application/interpretation problem : Next, we need to do our obligatory application/interpretation problem so we don't forget about them. Example : Assume that the

''t'' distribution, The 't' distribution is a theoretical probability distr...

The 't' distribution is a theoretical probability distribution. The 't' distribution is symmetrical, bell-shaped, and to some extent similar to the standard normal curve. It has an

Numerical analysis, Please,I Want to know and study for stability on predi...

Please,I Want to know and study for stability on predictor -corrector for numerical integration method

Find out the hydrostatic force on the triangular plate, Find out the hydros...

Find out the hydrostatic force on the following triangular plate that is submerged in water as displayed. Solution The first thing to do here is set up an axis system

Find out a particular solution to equation, Example: Find out a particular...

Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to

Find the area of the shaded region, ABC is a right angled triangle in which...

ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC

Help, how long would it take if a submarine if it goes 3 feet per minute to...

how long would it take if a submarine if it goes 3 feet per minute to get to 20000 answer

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