If ax+by=2 touches the ellipse a2x2+b2y2=1 , then find the eccentric angle θ of point of contact.
Consider the circles x2+(y−1)2=9,(x−1)2+y2=25. They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.
Find the equations of tangents to the circle x2+y2−22x−4y+25=0 which are perpendicular to the line 5x+12y+8=0
Find the length of the tangent drawn from any point on the circle x2+y2+2gx+2fy+c1=0 to the circle x2+y2+2gx+2fy+c2=0
The line 9x+y−18=0 is the chord of contact of the point P(h,k) with respect to the circle 2x2+2y2−3x+5y−7=0 , for (a)(524,−54) (b) P(3,1) (c)P(−3,1) (d) (−52,512)
If the abscissa and ordinates of two points PandQ are the roots of the equations x2+2ax−b2=0 and x2+2px−q2=0 , respectively, then find the equation of the circle with PQ as diameter.