The circle passing through the points (1, t), (t, 1) and (t, t) for all values of t passes through the point

The circle passing through (1,-2) and touching the axis of x at (3,0) also passes through the point:

The polar of the point (2t,t-4) w.r.t. the circle x^(2)+y^(2)-4x-6y+1=0 passes through the point

The polar of the point (t-1, 2t) w.r.t. the circle x^(2)+y^(2)-4x+6y+4=0 passes through the point of intersection of the lines

The polars of points (1,7) (2,6) and (t,5) with respect to a circle concurrent then t=

The equation of the straight line passing through the foot of the perpendicular of (4,5) on to x-axis and image of the same point w.r.t y-axis is

The equation of the line passing through the points (ct_(1),a/(t_(1))),(ct_(2),c/(t_(2))) is

IF the points A(1+t,1),B(1+2t,3),C(2t+2,2t) are collinear find 't'.

Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four points , Three of them are (2,2) , (4,1) and ( 6, 2//3) then coordinates of the fouth points are (1//4 , 16 ) Statement 2: If a circle S=0 intersects a hyperbola xy= c ^(2) at t_1, t_2, t_3 , t_4 then t_1.t_2.t_3.t_4= 1. Then correct statement is