Question

Solution

Correct option is The equation of the circle described on SS’ as a diameter is  The abscissa of the points of intersection of the ellipse and this circle are the roots of the equation      This will give distinct values of x is  SIMILAR QUESTIONS

Q1

The eccentricity of the ellipse with centre at the origin which meets the straight line on the axis of x and the straight line on the axis of y and whose axes lie along the axes of  coordinates is

Q2

The radius of the circle passing through the foci of the ellipse

9x2 + 16y2 = 144 and having its centre at (0, 3), is

Q3

An ellipse has OB as a semi-minor axis, FF’ as its foci and the angle FBF’ is a right angle. Then, the eccentricity of the ellipse is

Q4

The focus of an ellipse is (–1, –1) and the corresponding directix is x – y + 3 = 0. If the eccentricity of the ellipse is 1/2, then the coordinates of the centre of the ellipse are

Q5

The equation of the ellipse with its centre at (1, 2), one focus at (6, 2) and passing through (4, 6) is

Q6

Tangents are drawn to the ellipse and the circle x2 + y2 = a2 at the points where a common ordinate cuts them (on the same side of the x-axis). Then, the greatest acute angle between these tangents is given by

Q7

The area of the quadrilateral formed by the tangents at the end-points of latusrecta to the ellipse Q8

If α – β = constant, then the locus of the point of intersection of tangents at to the ellipse Q9

Let S(3, 4) and S(9, 12) be two foci of an ellipse. If the coordinates of the foot of the perpendicular from focus S to a tangent to the ellipse is (1, –4), then the eccentricity of the ellipse is

Q10

If PSQ is a focal chord of the ellipse , then the harmonic mean of SP and SQ is