Question

Find the equation of pair of tangents drawn from the point (1, 2) and (2, 1) to the ellipse .

Solution

Correct option is

As the point (1, 2) lies outside the ellipse, so equation of the pair of tangents drawn from it is

           .

As the point (2, 1) lies inside the ellipse, so no tangent can be drawn from it.

SIMILAR QUESTIONS

Q1

The equation x2 + 4xy + y2 + 2x + 4y + 2 = 0 represents

Q2

The equation of the tangent to the ellipse x2 + 16y2 = 16 making an angle of 600 with x-axis is

Q3

The equation of the ellipse whose foci are  and one of its directrix is 5x = 36.

Q4

Center of hyperbola 9x2 – 16y2 + 18x + 32y – 151 = 0 is

Q5

The equation of the ellipse whose centre is (2, –3), one of the foci is (3, –3) and the responding vertex is (4, –3) is

Q6

Find the eccentricity of the ellipse, whose foci are (–3, 4) and (3, –4) and which passes through the point (1, 2)

Q7

If  is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.

Q8

For what value of λ dose the line y = x + λ touches the ellipse 9x2 + 16y2 = 144.

Q9

Find the equations of the tangents to the ellipse 3x2 + 4y2 = 12 which perpendicular to the line y + 2x = 4.

Q10

A tangent to the circle x2 + y= 5 at the point (–2, 1) intersect the ellipse  at the point A, B. If tangents to the ellipse at the point A and B intersect at point C. Find the coordinate of points C.