Form the Differential Equation of the Family of Circles Touching the Y-axis at the Origin. - CBSE (Science) Class 12 - Mathematics
why create a profile on Shaalaa.com?
1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.
Form the differential equation of the family of circles touching the y-axis at the origin.
The centre of the circle touching the y-axis at origin lies on the x-axis.
Let (a, 0) be the centre of the circle.
Since it touches the y-axis at origin, its radius is a.
Now, the equation of the circle with centre (a, 0) and radius (a) is
This is the required differential equation.
Is there an error in this question or solution?
Solution Form the Differential Equation of the Family of Circles Touching the Y-axis at the Origin. Concept: Procedure to Form a Differential Equation that Will Represent a Given Family of Curves.