Vertices of a variable triangle are `(3, 4), (5 cos theta, 5 sin theta)` and `(5 sin theta, -5 cos theta)`, where `theta in R`. Locus of its orthocentre is

Vertices of a variable triangle are (5,12),(13cos theta,13sin theta) and (13sin theta-13cos theta), Where theta in R. Locus of itt's orthocentre is:

Vertices of a variable triangle are (3,4);(5cos theta,5sin theta) and (5sin theta,-5cos theta) where theta is a parameter then the locus of its circumcentre is

The diameter of the nine point circle of the triangle with vertices (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R , is

The diameter of the nine point circle of the triangle with vertices (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R , is

The diameter of the nine point circle of the triangle with vertices (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R , is

The diameter of the nine point circle of the triangle with vertices (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R , is

The vertices of a triangle are (1,sqrt(3)),(2cos theta,2sin theta) and (2sin theta,-2cos theta) where theta in R. The locus of orthocentre of the triangle is

The vertices of a triangle are (1,sqrt(3)),(2cos theta,2sin theta) and (2sin theta,-2cos theta) where theta in R. The locus of orthocentre of the triangle is

The vertices of a triangle are (1,sqrt(3)),(2cos theta,2sin theta) and (2sin theta,-2cos theta) where theta in R. The locus of orthocentre of the triangle is

Vertices of a triangle are (3,4),(5cos theta,5sin theta) and (-5sin theta,5cos theta). Then locus of orthocentre of thetriangle is -