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
Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0



The King Company is producing two types of products: A and B. Both products are produced on the similar machining operation. The machines operate on two 8-hour shifts, 5 days per w

Factoring polynomials is probably the most important topic. We already learn factor of polynomial .If you can't factor the polynomial then you won't be able to even start the probl

find the temperature at which the celsius and farhenheit temperatures are numerically equl

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up

Variation of Parameters Notice there the differential equation, y′′ + q (t) y′ + r (t) y = g (t) Suppose that y 1 (t) and y 2 (t) are a fundamental set of solutions for