If is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.
The tangent can be written as … (1)
The equation of tangent at point ‘θ’ is given as
From (1) and (2), eccentricity angle θ = 450.
The locus of the point of intersection of two perpendicular tangent to the ellipse , is
The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is
The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is
The equation x2 + 4xy + y2 + 2x + 4y + 2 = 0 represents
The equation of the tangent to the ellipse x2 + 16y2 = 16 making an angle of 600 with x-axis is
The equation of the ellipse whose foci are and one of its directrix is 5x = 36.
Center of hyperbola 9x2 – 16y2 + 18x + 32y – 151 = 0 is
The equation of the ellipse whose centre is (2, –3), one of the foci is (3, –3) and the responding vertex is (4, –3) is
Find the eccentricity of the ellipse, whose foci are (–3, 4) and (3, –4) and which passes through the point (1, 2)
For what value of λ dose the line y = x + λ touches the ellipse 9x2 + 16y2 = 144.