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

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

 

Posted Date: 4/8/2013 5:31:16 AM | Location : United States







Related Discussions:- Show that a, b, c are in arithmetic progressions, Assignment Help, Ask Question on Show that a, b, c are in arithmetic progressions, Get Answer, Expert's Help, Show that a, b, c are in arithmetic progressions Discussions

Write discussion on Show that a, b, c are in arithmetic progressions
Your posts are moderated
Related Questions
how many times can u put 10000 into 999999

The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.

what is the differeance in between determinate and matrix .

The F Distribution The F distribution is the distribution of the ratio of 2 random variables. Both random variables have yet another distribution, called the c 2 Distri

Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit

i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in


Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba

Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar