Minimum distance of a point (23,0) from the curve y=x is (a) 25 (b) 45 (c) 5 (d) 25
Find the equation of the parabola that satisfies the following conditions: Focus (0,−3); directrix y=3
Find the coordinates of the foci and the vertices the eccentricity and the length of the latus of rectum of the hyperbola 9y2−27x2=1
Find the equation of the ellipse whose axes are of length 6 and 26 and their equations are x−3y+3=0 and 3x+y−1=0 , respectively.
Prove that any point on the ellipse whose foci are (−1,0) and (7,0) and eccentricity is 21 is (3+8cosθ,43sinθ),θ∈R˙
The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to the earth is 405, 500 km and the minimum distance is 363,300 km. What is the eccentricity of the orbit?
Find the eccentric angle of a point on the ellipse 6x2+2y2=1 whose distance from the center of the ellipse is 5