Find the equation of the curve whose parametric equation are x=1+4cosθ,y=2+3sinθ,θ∈R˙
If the lines x+y=6andx+2y=4 are diameters of the circle which passes through the point (2, 6), then find its equation.
Find the equations of the circles which pass through the origin and cut off chords of length a from each of the lines y=xandy=−x
Tangents are drawn to x2+y2=1 from any arbitrary point P on the line 2x+y−4=0 . The corresponding chord of contact passes through a fixed point whose coordinates are (21,21) (b) (21,1) (21,41) (d) (1,21)
Let P be a point on the circle x2+y2=9,Q a point on the line 7x+y+3=0 , and the perpendicular bisector of PQ be the line x−y+1=0 . Then the coordinates of P are (0,−3) (b) (0,3) (2572,3521) (d) (−2572,2521)