## Question

### Solution

Correct option is

±5

The equation of the line is

Comparing it with y = mx + c, we get

m = 1 and c = λ

The equation of the ellipse is

Comparing the with , we get a2 = 16 and b2 = 9.

If the line touches the ellipse, then

.

#### SIMILAR QUESTIONS

Q1

The foci of the ellipse  are

Q2

The vertices of the ellipse

Q3

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

Q4

For the ellipse

lengths of major and minor axes are respectively.

Q5

The equation of the ellipse whose axes are of lengths 6 and  and their equations are x – 3y + 3 = 0 and 3x + y – 1 = 0 respectively, is

Q6

The eccentric angle of the extremities of latusrecta of the ellipse  are given by

Q7

If the line lx + my + n = 0 cuts the ellipse  in points whose eccentric angles differ by π/2, then

Q8

If the line lx + my + n = 0 to touches the ellipse , then

Q9

The line  is a tangent to the ellipse

.