Examine if the two circle x2 + y2 – 2x – 4y = 0 and x2 + y2 – 8y – 4 = 0 touch each other externally or internally. Also the pointed contact.
So the touch each other internally.
Find the equation of tangent to the circle x2 + y2 = 16 drawn from the point (1, 4).
The angle between a pair of tangents from a point P to the circle
x2 + y2 + 4x – 6y + 9 sin2α + 13 cos2α = 0 is 2α.
Find the equation of the lows of the point P.
Find the length of tangents drawn from the point (3, – 4) to the circle
2x2 + 2y2 – 7x – 9y – 30 = 0
Find the condition that chord of contact of any external point (h, k) to the circle x2 + y2 = a2 should subtend right angle at the centre of the circle.
The chord of contact of tangents drawn from a point on the circle x2 +y2 = a2 to the circle x2 + y2 = b2 thouchese x2 + y2 = e2 find a, b in.
Find the middle point of the chord intercepted on line lx + my + n = 0 by the circle x2 + y2 = a2.
Find the equation of the tangents from the point A(3, 2) to the circle x2 +y2 + 4x + 6y + 8 = 0.
If two tangents are drawn from a point on the circle x2 + y2 = 25 to the circle x2 + y2 = 25. Then find the angle between the tangents.
Find the equation of diameter of the circle x2 + y2 + 2gx + 2fy + c = 0 which corresponds o the chord ax + by + λ = 0.
Find the equation of the circle passing through (1, 1) and the point of intersection of circles.
x2 + y2 + 13x – 3y = 0 and 2x2 + 2y2 + 4x – 7y – 25 = 0