UPES B.Tech Admissions 2025
ApplyRanked #42 among Engineering colleges in India by NIRF | Highest CTC 50 LPA , 100% Placements
Different Form of the Equation of the Circle is considered one the most difficult concept.
34 Questions around this concept.
The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x-axis, lie on :
The circle passing through (1,-2) and touching the axis of x at (3,0) also passes through the point :
Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to :
New: Direct link to apply for JEE Main 2025 registration for session 1
Also Check: Crack JEE Main 2025 - Join Our Free Crash Course Now!
JEE Main 2025: Sample Papers | Syllabus | Mock Tests | PYQs | Video Lectures
JEE Main 2025: Preparation Guide | High Scoring Topics | Study Plan 100 Days
A circle touches the lines the centre of this circle lies in the first quadrant then one possible equation of this circle is
Equation of circle touching the lines will be
Four distinct points lie on a circle when:
Intercepts Made by Circle on the Axis
If the equation of Circle is , then
Length of x-intercept :
Length of y-intercept :
Proof:
Different Form of a Circle
When the circle touches X-axis
(a,b) be the centre of the circle, then radius = |b|
When the circle touches Y-axis
(a,b) be the centre of the circle, then radius = |a|
When the circle touches both the axes:
(a,a) be the centre of the circle, then radius = |a|
Note:
In this case, the centre can also be (a, -a) and radius |a|.
"Stay in the loop. Receive exam news, study resources, and expert advice!"