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

If a sec theta-c tan theta=d and b sec theta+d tan theta=c ,then prove that (c^(2)+d^(2))^(2)-(ac-bd)^(2)=(ad+bc)^(2)

In AD bot BC , prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

If ABC is an isosceles triangle and D is a point on BC such that AD perp BC, then AB^(2)-AD^(2)=BDdot DC( b) AB^(2)-AD^(2)=BD^(2)-DC^(2)(c)AB^(2)+AD^(2)=BDdot DC(d)AB^(2)+AD^(2)=BD^(2)-DC^(2)

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

In adjoining figure, seg AD bot side BC, B-D-C. Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2)

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