Grade 11Algebra
if a,b,c are in h.p.prove that :b+c-a÷a,c+a-b÷b,a+b-c÷c are in A.P
if a,b,c are in h.p.prove that :b+c-a÷a,c+a-b÷b,a+b-c÷c are in A.P
1 Answer
Arun
Dear student
We can prove it in reverse way
adding 1 ,b+c-a /a + 1 ,c+a-b /b +1 , a+b-c/c + 1 =b+c/a ,c+a/b ,a+b/c.
adding 1 again, we get a+b+c/a ,a+b+c/b ,a+b+c/c
cancelling the numerator we get 1/a,1/b,1/c which are thus also in A.P.
adding 1 again, we get a+b+c/a ,a+b+c/b ,a+b+c/c
cancelling the numerator we get 1/a,1/b,1/c which are thus also in A.P.
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago