If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that `1/p^2=1/a^2+1/b^2` .

If p be the length of the perpendicular from the origin on the line x/a+y/b=1 , then

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

Find the tangent of the angle between the lines whose intercepts on the axes are respectively, p,-q and q, -p.

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)) .

If P is the length of perpendicluar drawn from the origin to any normal to the ellipse x^(2)/25+y^(2)/16=1 , then the maximum value of p is

Let P(x_1,y_1) be a point and let ax + by +c =0 be a line. If L (h, k) is the foot of perpendicular drawn from P on this line and Q (alpha, beta) is the image of P in the given line, then prove that : (h-x_1)/a=(k-y_1)/b=-((ax_1+by_1+c)/(a^2+b^2)) .

Find the length and the foot of the perpendicular from: P(1,1,2) to the plane 2x-2y+4z+5=0

Find the length of the perpendicular from (2,-3,0) to line ((x+1)/2 = (y-3)/(-2) = z/(-1))

Prove that if a plane has 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 .

Find the length of perpendicular from P(2, -3, 1) to the (x+1)/(2)=(y-3)/(3)=(z+2)/(-1) .