Home
Class 12
MATHS
If 2(a^(2)+b^(2))=(a+b)^(2) then show th...

If `2(a^(2)+b^(2))=(a+b)^(2)` then show that `a=b`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

If a^(2),b^(2),c^(2) are in A.P,show that: (a)/(b+c),(b)/(c+a),(c)/(a+b) are in A.P.

In Delta ABC , if sin^(2)A + sin^(2)B = sin^(2)C , then show that a^(2) + b^(2) = c^(2) .

If (b-c)^(2),(c-a)^(2),(a-b)^(2) are in A.P.then show that (1)/(b-c),(1)/(c-a),(1)/(a-b) are in A.P.

If a,b,quad >0 such that a^(3)+b^(3)=2, then show that a+b<=2.

If log((a-b)/(2))=(1)/(2)(log a+log b), show that a^(2)+b^(2)=6ab

If the arthmetic mean of (b-c)^2, (c-a)^2 and (a-b)^2 is the same as that of (b+c-2a)^2, (c+a-2b)^2 and (a+b-2c)^2 show that a=b=c .

Show that the sequence (a+b)^(2)(a^(2)+b^(2)),(a-b)^(2),... is an A.P.

(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. .