Home
Class 11
MATHS
Find the equation of the circle whose ra...

Find the equation of the circle whose radius is `5a n d` which touches the circle `x^2+y^2-2x-4y-20=0` externally at the point `(5,5)dot`

Text Solution

AI Generated Solution

To find the equation of the circle with a radius of 5 that touches the given circle externally at the point (5, 5), we can follow these steps: ### Step 1: Identify the given circle's equation The equation of the given circle is: \[ x^2 + y^2 - 2x - 4y - 20 = 0 \] We can rewrite this in standard form to find its center and radius. ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise True/False|8 Videos

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Fillers|6 Videos

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Objective type|13 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Fillers|16 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle whose radius is 5 and which touches the circle x^2+y^2-2x-4y-20=0 externally at the point (5,5) .

Find the equation of the circle whose radius is 3 and which touches internally the circle x^2+y^2-4x-6y=-12=0 at the point (-1,-1)dot

Centre of the circle whose radius is 3 and which touches internally the circle x^(2)+y^(2)-4x-6y-12=0 at the point (-1 -1) is

The equation of the circle whose center is (3,-2) and which touches the line 3x - 4y + 13 = 0 is

The radius of a circle is 5 units and it touches the circle x^(2) + y^(2) - 2 x - 4 y - 2 0 = 0 externally at the point (5,5). Find the equation of the circle.

Find the equation of the circle having radius 5 and which touches line 3x+4y-11=0 at point (1, 2).

Find the equation of the circle having radius 5 and which touches line 3x+4y-11=0 at point (1, 2).

Find the equation of circle whose centre is the point (1,- 3) and touches the line 2x-y-4=0

Find the equation of the circle passing through (1,2) and which is concentric with the circle x^2+y^2+11x-5y+3=0.

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 8x + 6y -5 = 0 and passing through the point (-2, -7).