Question

Find the equation of the tangents to the circle x2 + y2 = 9, which make an angle of 60o with the x-axis.

Solution

Correct option is

 

Slope tangent make an angle 60o with the x-axis

And given circle      x2 + y2 = 9

SIMILAR QUESTIONS

Q1

 

Discuss the position of the points (1, 2) and (6, 0) with respect to the circle

                          x2 + y2 – 4x +2y – 11 = 0.

Q2

 

Find the shortest and largest distance from the point (2, –7) to the circle 

                   x2 + y2 – 14x – 10y – 151 = 0

Q3

Find the points of intersection of the line 2x + 3y = 18 and the circle x2 +y2 = 25.

Q4

Find the length of the intercept on the straight line 4x – 3y – 10 = 0 by the circle x2 + y2 – 2x + 4y – 20 = 0.

Q5

Find the co-ordinates of the middle point of the chord which the circlex2 + y2 + 4x – 2y – 3 = 0 cuts off the line x – y + 2 = 0.

Q6

For what value of λ will the line = 2x + λ be a tangent to the circle x2 +y2 = 5?

Q7

Find the equation of tangent to the circle x2 + y2 – 2ax = 0 at the point   

Q8

Find the equation of the tangents to the circle x2 + y2 = 9, which  Are parallel to the line 3x + 4y – 5 = 0

Q9

 

Find the equation of the tangents to the circle x2 + y2 = 9, which

Are perpendicular to the line 2x + 3y + 7 = 0.

Q10

Show that the line 3x – 4y = 1 touches the circle x2 + y2 – 2x + 4y + 1 = 0. Find the co-ordinates of the point of contact.