Ellipse questions
211 published questions with worked solutions.
- If the foci of the ellipse x^2 16 + y^2 b^2 = 1 coincide with the foci of the hyperbola x^2 144 - y^2 81 = 1 25 , then b^2 is...
- An ellipse is drawn by taking a diameter of the circle (x - 1)^2 + y^2 = 1 as its semiminor axis and a diameter of the circle x^2...
- Let the equations of two ellipses be E_1 : x^2 3 + y^2 2 = 1 and E_2 : x^2 16 + y^2 b^2 = 1, If the product of their...
- A point on the ellipse, 4x^2 + 9y^2 = 36, where the normal is parallel to the line, 4x − 2y − 5 = 0, is :
- If OB is the semi-minor axis of an ellipse, F_1 and F_2 are its focii and the angle between F_1B and F_2B is a right angle, then...
- The minimum area of a triangle formed by any tangent to the ellipse x^2 16 + y^2 81 = 1 and the co-ordinate axes is:
- The equation |z-i|+|z+i|=k, k>0, can represent an ellipse if k is
- The angle between the pair of tangents from the point (1, 1/2) to the circle x^2 + y^2 + 4x + 2y - 4 = 0 is
- The equation 2x^2 - 3xy + 5y^2 + 6x - 3y + 5 = 0 represents
- The set of real values of k for which the equation (k+1)x^2 + 2(k-1)xy + y^2 - x + 2y + 3 = 0 represents an ellipse is
- The eccentricity of the ellipse x^2 4 + y^2 9 = 1 is
- The ellipse x^2 a^2 + y^2 b^2 = 1 passes through the point (-3, 1) and has the eccentricity 25 . Then the major axis of the...
- In the ellipse x^2 + 3y^2 = 9 the distance between the foci is
- The minor axis of the ellipse 9x^2 + 5y^2 = 30y is
- The foci of the ellipse 25x^2 + 36y^2 = 225 are
- If in an ellipse the minor axis = the distance between the foci and its latus rectum = 10 then the equation of the ellipse in the...
- If in an ellipse, a focus is (6, 7), the corresponding directrix is x + y + 2 = 0 and the eccentricity = 12 then the equation of...
- If two foci of an ellipse be (-2, 0) and (2, 0) and its eccentricity is 23 then the ellipse has the equation
- An ellipse having foci at (3, 1) and (1, 1) passes through the point (1, 3). Its eccentricity is
- A point on the ellipse x^2 6 + y^2 2 = 1 at a distance 2 from the centre of the ellipse has the eccentric angle
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration