is 3y+4x+31=0.[3]The point Q, which lies on the circle, is the same distance from the y-axis as the point P.(iii) Find the equation of the tangent to the circle at Q.[4]The tangents to the circle at P and Q intersect at the point R.(iv) Find the coordinates of R...
We haven=T−1(x0,y0)=(x0/a,y0/b)n=T−1(x0,y0)=(x0/a,y0/b), the corresponding point on the unit circle. The equation of the tangent line to the circle atnnis1=n⋅(x,y)=xx0/a+yy0/b1=n⋅(x,y)
Circle is the set of points in a plane that are equidistant from a given point. Learn more about circle, tangent equation, chord etc. with the help of solved examples.
In junior high school, we know that the slope of two vertical lines is negative 1. We can use this relationship to solve the problem of knowing the equation of a circle and the equation of a tangent line at a point on the circle (this method has some limitations). The equation of the...
Method 1 : Since the circle is tangent to both axes, the center of the circle is on the line. shing \(5_1-3_1=8x±y=0. b \(x=4y=4. \(x=1y=-1. Therefore the equation of the cirele is (x -4)+ (y-4)2=16 or(x-1)2+(y+1)2=1. Method 2: Let the equation of ...
The centers of the circles defined by AA, BB, and rr are on the line p(t)=p0+tn=12(A+B)+tnp(t)=p0+tn=12(A+B)+tn, at a value of tt to be computed. The distance from either point, say AA, to the center of the circle is rr. Therefore |p(t)−A|2=|12(B...
Method 1: Since the circle is tangent to both axes, the center of the circle is on the line. 5x-3y=8 Solving \(5x-3y=8x±y=0. - \(x=4y=4.[x=1y=-1. Therefore the equation of the cir cleis(x-4)^2+ (y-4)^2=16or(x-1)^2+(y+1)^2=1 . Method 2: Let the ...
a curve is passing through the origin and the slope of the tangent at a point r(x,y) where -1<x<1 is given as ( x 4 + 2xy + 1)/(1 – x 2 ) . what will be the equation of the curve? solution: we know that the slope of the tangent at (x,y) is, tanƟ= dy/dx ...
equation of the circle is(x -4)2+-|||-(y-4)2=16or(x-1)2+(y+1)2=1.-|||-Method 2:-|||-Let the equation of the circle be-|||-(x-a)2+(y-b)2=r2-|||-Since the circle is tangent to both axis-|||-a2=b2=r2-|||-(1)-|||-Since the center of the circle is ...
Unit Circle Definition The locus of a point which is at a distance of one unit from a fixed point is called a unit circle. Equation of a Unit Circle The general equation of a circle is (x - a)2+ (y - b)2= r2, which represents a circle having the center (a, b) and the radi...