Questions
An ellipse has eccentricity 1/2 and a focus at the point P(1/2, 1). One of its directrix is the common tangent near to the point P, to the circle and the hyperbola the equation of the ellipse is
detailed solution
Correct option is B
Equation of a common tangent is x = ±1, nearer to P(1/2,1) is x=1. o the directrix of the ellipse is x = 1 and the focus is (x−1/2)2+(y−1)2=1/4(1−x)2⇒3x2+4y2−2x−8y+4=0Talk to our academic expert!
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Equation of an ellipse with centre at the origin passing through and having eccentricity is.
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