Ellipse questions
211 published questions with worked solutions.
- A point P on the ellipse x^2 25 + y^2 9 = 1 has the eccentric angle 8 . The sum of the distances of P from the two foci is
- The slope of the diameter of the ellipse x^2 a^2 + y^2 b^2 = 1, whose length is the GM of the major and minor axes, is
- PP' is a diameter of the ellipse b^2x^2 + a^2y^2 = a^2b^2 such that PP'^2 is the AM of the squares of the major and minor axes....
- P is a variable point on the ellipse x^2 a^2 + y^2 b^2 = 2 whose foci are F_1 and F_2. The maximum area (in unit²) of the PF_1F_2...
- Which of the following points is an exterior point of the ellipse 16x^2 + 9y^2 - 16x - 32 = 0?
- The foci of the ellipse x^2 16 + y^2 b^2 =1 and the hyperbola x^2 144 - y^2 81 = 1 25 coincide. Then the value of b^2 is
- The equation of the tangent to the ellipse 4x^2+3y^2=12 at the point whose eccentric angle is 4 is
- The value of c for which the line y=3x+c touches the ellipse 16x^2+y^2=16 is
- The number of values of [0,2 ] for which the line 2x +3y =6 touches the ellipse 4x^2+9y^2=36 is
- The line 3x+5y=k is a tangent to the ellipse 16x^2+25y^2=400 if k is
- The equation of the tangent to the ellipse x^2 25 + y^2 16 =1, which is parallel to the line y=3x, is
- If the tangents from the point ( ,3) to the ellipse x^2 9 + y^2 4 =1 are at right angles then is
- The ordinate of the point of contact of a tangent is 2. Then the equation of the tangent to x^2+4y^2=25 is
- If the tangent to the ellipse x^2+4y^2=16 at the point ' ' is a normal to the circle x^2+y^2-8x-4y=0 then is equal to
- The area of the quadrilateral formed by tangents at the end points of latus recta of the ellipse x^2 9 + y^2 5 =1 is
- The tangent at (3 3 , ) is drawn to the ellipse x^2 27 +y^2=1. Then the value of such that the sum of intercepts on axes made by...
- If P and Q are the ends of a pair of conjugate diameters and C is the centre of the ellipse 4x^2+9y^2=36 then the area of the CPQ...
- If y=x and 3y+2x=0 are the equations of a pair of conjugate diameters of the ellipse x^2 a^2 + y^2 b^2 =1 then its eccentricity is
- The point P on the ellipse 4x^2+9x^2=36 is such that the area of the PF_1F_2= 10 where F_1, F_2 are foci. Then P has the...
- A point on the ellipse x^2=3y^2=37, where the normal is parallel to the line 6x-5y=2, is
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