The eccentricity of an ellipse whose centre is at the origin is 1 2 . If one of the…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The eccentricity of an ellipse whose centre is at the origin is \(\frac{1}{2} .\) If one of the directrices is x = 4, then the equation of the ellipse is
- \(4 x^{2}+3 y^{2}=6\)
- \(4 x^{2}+3 y^{2}=12\)
- \(3 x^{2}+4 y^{2}=12\)
- \(3 x^{2}+4 y^{2}=6\)
Answer
(C) 3 x^ 2 +4 y^ 2 =12
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The equation of a circle which passes through the three points (3, 0), (1, –6), (4, –1) is-
- If tangents are drawn to the ellipse x^ 2 +2 y^ 2 =2 at all points on the ellipse other than its four…
- The intercept on the line y = x by the circle x 2 + y 2 – 2x = 0 is AB. Equation of the circle on AB as a…
- If PQ is a focal chord of the parabola y^ 2 =4 a x, O is the origin and G is the centroid of triangle OPQ…
- If two tangents drawn from a point P to the parabola ^ 2 = 4 are at right angles, then the locus of P is
- Find the equation of tangents to the ellipse 4 x^ 2 +3 y^ 2 =5 , which are parallel to the line 3 x-y+7=0 .
- A variable circle passes through the fixed point A (p, q) and touches x - axis. The locus of the other end of…
- The points on the ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1 , such that the tangent at that point makes equal angles…
More Co-ordinate Geometry questions · Browse all practice questions