Equation of chord AB of circle x^(2)+y^(2)=2 passing through P(2,2) such that (PB)/(PA)=3, is given by
Learn the general equation of a circle when the center is at origin and when it is not in origin. Circle equation can be derived using Pythagoras theorem as well. Solve questions at BYJU’S.
Diameter –Diameter is the line from one point on the boundary of the circle to another point and passing through the centre of the circle. It is twice the length of the radius. Chord of a Circle– The chord of a circle is the line from one point on the boundary of the circle to a...
Put y=2x in the equation of circle x^(2) +y^(2)=10x x^(2)+(2x)^(2)-10x=0 rArr5x^(2)=10x=0 rArr5x(x-2)=0 rArr x=0 and x=2 rArr y=0 and y=4 Therefore, the co-ordinates of the ends of chord =(0,0) and (2,4) Now the equation of a circle taking
The equation of a unit circle - where the center of the circle is located in the origo of the coordinate system and the radius = 1 - can be expressed as x2 + y2 = 1 (1) Standard Form The standard form for the equation of a circle can be expressed as (x - a)2 + (y - b...
The equation of a circle is (7.7)x2+y2=r2, where r is the radius of the circle, and the circle has its center at the origin of the x, y coordinate system. If we are dealing in three dimensions, we have an “ellipsoid”. The locus of the equation (7.8)x2/a2+y2/b2+z2/c2...
A circle is a conic that is framed by various elements. Basically, they are the parts of a circle. Center, radius, diameter, segment, tangent, sector, arc, and chord are some basic elements of a circle. A circle consists of two semicircles. When we find a circle's eq...
to calculate the area of the circle of radius 4 centered at the origin. Using Green's Theorem in Finding AreaWhen we have a simple and closed curve in a two-dimensional plane that can be expressed as parametric equations, we can use Green...
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the learning app to learn maths-related concepts, and also watch engaging videos to learn with ease. related links circles radius of a circle properties of circle chord of a circle frequently asked questions on concentric circles q1 what is meant by concentric circles? the circles are said to ...