The orthocenter of the triangle PAB is

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The orthocenter of the trianlge PAB is

(a,b),(c,d),(e,f) are the vertices of an equilateral triangle.Then the orthocenter of the triangle is

If the vertices of a triangle are (sqrt(5),0),(sqrt(3),sqrt(2)), and (2,1), then the orthocenter of the triangle is

If the ends of the base of an isosceles triangle are at (2,0) and (0,1), and the equation of one side is x=2, then the orthocenter of the triangle is

Two vertices of a triangle are (5,-1) and (-2,3) .The orthocenter of the triangle is the origin. If the third vertex is (lambda,mu) then the value of 7 lambda-4 mu is

A triangle has its vertices on a rectangular hyperbola.Prove that the orthocenter of the triangle also lies on the same hyperbola.