Home
Class 12
MATHS
The line 2x - y + 1 = 0 is tangent to ...

The line `2x - y + 1 = 0` is tangent to the circle at the point `(2, 5)` and the centre of the circles lies on `x-2y = 4`. The radius of the circle is

A

`3sqrt(5)`

B

`5sqrt(3)`

C

`2sqrt(5)`

D

`5sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos
  • CIRCLE

    VK JAISWAL|Exercise Exercise - 3 : Comprehension Type Problems|10 Videos
  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|15 Videos
  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the centre of the circle lies on x-2y=4. The square of the radius of the circle is

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. Then find the radius of the circle.

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

The line 5x-y=3 is a tangent to a circle at the point (2,7) and its centre is on theline x+2y=19. Find the equation of the circle.

If the line x+3y=0 is the tangent at (0,0) to the circle of radius 1, then the centre of one sum circle is

A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the circle lies on the line

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6. The radius of the circle is