Show that if `r_1 and r_2` be the lengths of perpendicular chords of a parabola drawn through the vertex, then `(r_1 r_2)^(4/3) = 16a^2 (r_1^(2/3) + r_2^(2/3))`

If r_1 and r_2 be the length sof perpendicular chords of a parabola y^2 = 4x through its vertex, then (r_1 r_2)^(4/3)/(r_1^(2/3) + r_2^(2/3) =

Show that 16R^(2)r r_(1) r _(2) r_(3)=a^(2) b ^(2) c ^(2)

A and B are two points on the parabola y^(2) = 4ax with vertex O. if OA is perpendicular to OB and they have lengths r_(1) and r_(2) respectively, then the valye of (r_(1)^(4//3)r_(2)^(4//3))/(r_(1)^(2//3)+r_(2)^(2//3)) is

Prove that (r_1-r)(r_2-r)(r_3-r)=4R r^2

(r_(2)+r_(3))sqrt((r r_(1))/(r_(2)r_(3)))=

Show that (r_(1)+ r _(2))(r _(2)+ r _(3)) (r_(3)+r_(1))=4Rs^(2)

Prove that : (r_1+r_2) tan (C )/(2) = (r_3- r) cot ( C)/(2) = c

If the lengths of the perpendiculars from the vertices of a triangle ABC on the opposite sides are p_(1), p_(2), p_(3) then prove that (1)/(p_(1)) + (1)/(p_(2)) + (1)/(p_(3)) = (1)/(r) = (1)/(r_(1)) + (1)/(r_(2)) + (1)/(r_(3)) .

Prove that r_1+r_2+r_3-r=4R

Prove that r_1+r_2+r_3-r=4R