Question
The vertices of the ellipse


None of these


easy
Solution
The equation of the ellipse can be written as
Shifting the origin at (1, 0), keeping the axes parallel to the coordinate axes, we have
The equation of the ellipse with reference to new origin is
The coordinates of vertices with reference to new origin are
.
Substituting these in (i), we obtain (1, ±3) as the coordinates of the vertices of the given conic.
SIMILAR QUESTIONS
If the eccentricities of the two ellipse
are equal, then the value , is
The curve represented by the equation
, is
The equation of the ellipse whose axes are along the coordinate axes, vertices are (±5, 0) are foci at (±4, 0), is
The equation of the ellipse whose axes are along the coordinate axes, vertices are (0, ±10) and eccentricity e = 4/5, is
If the latusrectum of an ellipse is equal to one half of its minor axis, then the eccentricity is equal to
The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is
The equation of the circle drawn with the two foci of as the endpoints of a diameter, is
The foci of the conic 25x^{2} +16y^{2} – 150x = 175 are
The foci of the ellipse are
The equation of the ellipse, with axes parallel to the coordinate axes, whose eccentricity is 1/3 and foci are at (2, –2) and (2, 4) is