Find the angle between the two tangents from the origin to the circle (x−7)2+(y+1)2=25
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.y2=12x x2=−16yy2=10x
If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points (a2+1,a2+1) and (2a,−2a), then find the orthocentre.
Find the equations of the hyperbola satisfying the given conditions :Foci (±4,0), the latus rectum is of length 12
The points (a,b),(c,d), and (k+lkc+la,k+lkd+lb) are (a) vertices of an equilateral triangle (b) vertices of an isosceles triangle (c) vertices of a right-angled triangle (d) collinear