Question

 

Find the equation of the normal to the circle

x2 + y2 – 5x + 2y – 48 = 0 at the point (5, 6).

Solution

Correct option is

 

Equation of the normal at (5, 6) is  

                              

  

  

SIMILAR QUESTIONS

Q1

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

Q2

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.

Q3

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

Q4

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

Q5

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

Q6

 

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

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

Q7

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

Q8

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.

Q9

The line (x – 2) cos θ + (y – 2) sin θ = 1 touches a circle for all values of θ. Find the circle.

Q10

Find the equation of the tangents to the circle x2 + y2 = 16 drawn from the point (1, 4).