If `a^2 , b^2, c^2 ` are in A.P., then (b+c) , (c+a) , (a+b) are in

(i) a , b, c are in H.P. , show that (b + a)/(b -a) + (b + c)/(b - c) = 2 (ii) If a^(2), b^(2), c^(2) are A.P. then b + c , c + a , a + b are in H.P. .

Assertion: a^2,b^2,c^2 are in A.P., Reason: 1/(b+c), 1/(c+a), 1/(a+b) are in A.P. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

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

In any triangle ABC , if a^2,b^2,c^2 are in AP then that cot A , cot B , cot C are in are in A.P.

If a^(2), b^(2), c^(2) are in A.P., then : (cos A)/a, (cos B)/b, (cos C)/c are in