1.

If a, b, c, d are in proportion , then prove that (i) 11a2 + 9ac11b2 + 9bd= a2 + 3acb2 + 3bd(ii) a2 + 5c2b2 + 5d2= ab(iii) a2 + ab + b2a2 - ab + b2= c2 +cd+ d2c2 -cd+ d2

Answer» If a, b, c, d are in proportion , then prove that



(i) 11a2 + 9ac11b2 + 9bd= a2 + 3acb2 + 3bd





(ii) a2 + 5c2b2 + 5d2= ab







(iii) a2 + ab + b2a2 - ab + b2= c2 +cd+ d2c2 -cd+ d2


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