AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) is
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x2+9y2=36
If the tangent at any point of the ellipse a3x2+b2y2=1 makes an angle α with the major axis and an angle β with the focal radius of the point of contact, then show that the eccentricity of the ellipse is given by e=cosαcosβ
Find the coordinates of the foci, the vertices the eccentricity and the length of latus rectum of the hyperbola 16x2−9y2=576
Find the equation of the circle passing through the points (2,3) and (−1,1) and whose centre is on the line x−3y−11=0
Find the slope of a common tangent to the ellipse a2x2+b2y2=1 and a concentric circle of radius r˙
P is the point on the ellipse is16x2+9y2=1andQ is the corresponding point on the auxiliary circle of the ellipse. If the line joining the center C to Q meets the normal at P with respect to the given ellipse at K, then find the value of CK.
Ois the origin & also the centre of two concentric circles having radii of the inner & the outer circle as