Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

The eccentricity of the conic 9x² + 25y² = 225 is

The latus-rectum of the conic 3x² + 4y² − 6x + 8y − 5 = 0 is

The equations of the tangents to the ellipse 9x² + 16y² = 144 from the point (2, 3) are

The eccentricity of the ellipse 4x² + 9y² + 8x + 36y + 4 = 0 is

The eccentricity of the ellipse 4x² + 9y² = 36 is

The eccentricity of the ellipse 5x² + 9y² = 1 is

For the ellipse x² + 4y² = 9

If the latus rectum of an ellipse is one half of its minor axis, then its eccentricity is

An ellipse has its centre at (1, −1) and semi-major axis = 8 and it passes through the point (1, 3). The equation of the ellipse is

The sum of the focal distances of any point on the ellipse 9x² + 16y² = 144 is

If (2, 4) and (10, 10) are the ends of a latus-rectum of an ellipse with eccentricity 1/2, then the length of semi-major axis is

The equation \[\frac{x^2}{2 - \lambda} + \frac{y^2}{\lambda - 5} + 1 = 0\] represents an ellipse, if

The eccentricity of the ellipse 9x² + 25y² − 18x − 100y − 116 = 0, is

If the major axis of an ellipse is three times the minor axis, then its eccentricity is equal to

The eccentricity of the ellipse 25x² + 16y² = 400 is

The eccentricity of the ellipse 5x² + 9y² = 1 is

The eccentricity of the ellipse 4x² + 9y² = 36 is

If p₁ and p₂ are the lengths of the perpendiculars from the origin upon the lines x sec θ + y cosec θ = a and x cos θ − y sin θ = a cos 2 θ respectively, then

If p be the length of the perpendicular from the origin on the line x/a + y/b = 1, then

If `(x/3+1, y-2/3)` = `(5/3,1/3),`find the values of x and y.