If "P" is the distance from the origin to `(x)/(a)+(y)/(b)=1` then `(1)/(a^(2))+(1)/(b^(2))`

if P is the length of perpendicular from origin to the line (x)/(a)+(y)/(b)=1 then prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(p^(2))

Find the vector equation of the plane passing through the points A(a,0,0),B(0,b,0) and C(0,0,c) . Reduce it to normal form.If plane ABC is at a distance p from the origin,prove that (1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))

Prove that if a plane has the intercepts a,b,c and is at a distance of p units from the origin, then (1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))=(1)/(p^(2))

If 2p is the length of perpendicular from the origin to the lines (x)/(a)+(y)/(b)=1, then a^(2),8p^(2),b^(2) are in

I.If p is the length of the perpendicular from the origin on the line (x)/(a)+(y)/(b)=1 and a^(2),p^(2),b^(2) are in A.P,then a^(4)-2p^(2)a^(2)+2p^(4)=

If p is the length of perpendicular from the origin on the line (x)/(a)+(y)/(b)=1 and a^(2) , p^(2) and b^(2) are in AP, the show that a^(4)+b^(4)=0 .

If p is the length of the perpendicular drawnfrom the origin upon the line (x)/(a)+(y)/(b)=1 and a^(2),p^(2),b^(2) are in arithmetic progression,) then |ab| is equal to

The differential equation of all straight lines which are at a constant distance p from the origin, is (a) (y+xy_1)^(2)=p^(2) (1+y_(1)^2) (b) (y-xy_(1)^(2))=p^(2) (1+y_(1))^(2) ( c ) (y-xy_(1))^(2)=p^(2) (1+y_(1)^(2)) (d) None of these