[" 2.If "a,b,c" are in "AP" ,show that "...

[" 2.If "a,b,c" are in "AP" ,show that "],[[" (i) "(b+c-a),(c+a-b),(a+b-c)" are in "AP" ."],[" (ii) "(bc-a^(2)),(ca-b^(2)),(ab-c^(2))" are in AP."]]

Similar Questions

Explore conceptually related problems

If a,b,c are in Ap, show that (i) (b +c-a),(c+a-b) ,(a+b-c) are in AP. (bc -a^(2)) , (ca - b^(2)), (ab -c^(2)) are in AP.

If a,b,c are in AP , show that (a+2b-c) (2b+c-a) (c+a-b) = 4abc .

If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP.

If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 are in A.P.

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

If a, b, c are in A.P., show that: (b + c), (c + a) and (a + b) are also in A.P.

If a,b,c are in AP, show that (i) (b+c) , (c+a) and (a +b) are in AP. (ii) a^(2) (b+c) , b^(2) (c +a) and c^(2) ( a+b) are in AP.

If a, b, c are in A.P., then show that (i) b + c – a, c + a – b, a + b – c are in A.P.

If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) are also in A.P.

If 1/a,1/b,1/c are in AP, prove that (i) ((b+c))/a, ((c+a))/b,((a+b))/c are in AP. (ii) ((b+c-a))/a,((c +a-b))/b, ((a+b-c))/c are in AP .