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Form the Differential Equation of the Family of Circles Touching the Y-axis at the Origin. - Mathematics

Form the differential equation of the family of circles touching the y-axis at the origin.

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Solution

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.

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 6 | Page 391
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