Question

 

The line  is a tangent to the ellipse

 .

Solution

Correct option is

 

We know that the line y = mx + c is a tangent to the ellipse .    

In This case, we have    

      

So, the given line will be a tangent, if 

      

SIMILAR QUESTIONS

Q1

The foci of the conic 25x2 +16y2 – 150x = 175 are

Q2

 

The foci of the ellipse  are  

 

Q3

The vertices of the ellipse 

Q4

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

Q5

 

For the ellipse

       

lengths of major and minor axes are respectively.

Q6

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

Q7

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

Q8

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

Q9

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

Q10

 

The value of λ for which the line y = x + λ  touches the ellipse

9x2 + 16y2 = 144, are