सिद्ध कीजिए कि:
` |(ad+bc,bd-ac),(ac-bd,ad+bc)| = (a^(2) + b^(2)) (c^(2)+d^(2)).`

In Delta ABC, AD_|_ BC . Prove that AB^(2) - BD^(2) =AC^(2) -CD^(2)

In Delta ABC , BD : CD = 3 : 1 and AD _|_ BC . Prove that 2(AB^(2) - AC^(2)) = BC^(2) .

In the given fig. if AD bot BC Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2) .

In the given fig. if AD bot BC Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2) .

If a : b = c : d , then prove that (a +b)/(a - b) = sqrt(ac + ad + bc + bd)/sqrt(ac - ad - bc + bd) .

IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)=0 are

In Delta ABC , AD is a median and AM _|_ BC.Prove that (a) AC^(2) = AD^(2) +BC.DM+ ((BC)/(2))^(2) (b) AB^(2) = AD^(2) -BC.DM+ ((BC)/(2))^(2) (c ) AC^(2) + AB^(2) = 2AD^(2) +(1)/(2) BC^(2)