If `p_(1)` and `p_(2)` be the lengths of the perpendiculars from the origin upon the tangent and normal respectively to the curve `x^((2)/(3)) +y^((2)/(3)) = a^((2)/(3))` at the point `(x_(1), y_(1))`, then-

If p_(1) and p_(2) be the lengths of perpendiculars from the origin on the tangent and normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) respectively,then 4p_(1)^(2)+p_(2)^(2)=

If pand qare the lengths of the perpendiculars from the origin on the tangent and the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) , then 4p^2+q^2 =

If p_1 and p_2 be the lengths of perpendiculars from the origin on the tangent and normal to the curve x^(2/3)+y^(2/3)= a^(2/3) respectively, then 4p_1^2 +p_2^2 =

If p _(1) and p_(2) are the lengths of the perpendiculars from origin on the tangent and normal drawn to the curve x ^(2//3) + y ^(2//3) = 6 ^(2//3) respectively. Find the vlaue of sqrt(4p_(1)^(2) +p_(2)^(2)).

If p _(1) and p_(2) are the lengths of the perpendiculars from origin on the tangent and normal drawn to the curve x ^(2//3) + y ^(2//3) = 6 ^(2//3) respectively. Find the vlaue of sqrt(4p_(1)^(2) +p_(2)^(2)).

Obtain equation of tangent and normal at point (1, 1) to the curve x^((2)/(3))+y^((2)/(3))=2 .

If p_(1),p_(2) be the lenghts of perpendiculars from origin on the tangent and the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) drawn at any point on it, show that, 4p_(1)^(2)+p_(2)^(2)=a^(2)

The length of the perpendicular from the origin,on the normal to the curve, x^(2)+2xy-3y^(2)=0 at the point (2,2) is

If p_(1) and p_(2) ,be the lengths of the perpendiculars from theorigin upon the lines 4x+3y=5cos alpha and 6x8y=5sin alpha respectively,show that,p_(1)^(2)+4p_(2)^(2)=1