Statement 1 : The differential equation of all circles in a plane must be of order 3.
Statement 2 : There is only one circle passing through three non-collinear points.

Only one circle can be drawn through three non-colinear points.

Only one circle can be throught three collinear points .

Write True or False: Only one circle can be drawn through three collinear points.

Statement 1 : The center of the circle having x+y=3 and x-y=1 as its normals is (1, 2) Statement 2 : The normals to the circle always pass through its center

Find the differential equation of all straight lines passing through the point (0,3).

The differential equation of the family of circles passing through the fixed points (a, 0) and (-a, 0) is

Which one of the following equations represent the differential equation of circles, with centres on the x-axis and all passing through the origin ?

if three points are collinear , how many circles can be drawn through these points? Now, try to draw a circle passing through these three points.

Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for different values of a , a system of circles passing through two fixed points lying on the x-axis. Statement 2 : S=0 is a circle and L=0 is a straight line. Then S+lambdaL=0 represents the family of circles passing through the points of intersection of the circle and the straight line (where lambda is an arbitrary parameter). (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Form the differential equation of the family of circles having centre on the x-axis and passing through the origin .