Question #754ab
2 Answers
Explanation:
The equation of a circle in standard form:
Find the radius:
The diameter of the circle is the distance between the two points:
Find the center:
The center is the midpoint of the diameter
The circle is required to be tangent to the line
The line in
The perpendicular line that goes through the diameter is:
The point
Therefore, the equation of the circle is:
or,
A little correction : the eqn. is
Explanation:
We will deal with the Problem using the Geometrical Concepts.
The points
sgmnt.
that the Centre
Let, line
We also know that, the
passes thro. the Centre of the circle......(2).
Let, line
pt. of cot.
From (1) and (2), we find,
Eqn. of
Slope of
Mid-pt.
On the similar lines, we get,
Solving
If
Thus, the centre of the circle is
Hence, the eqn. of the reqd. circle is,
A little correction : the eqn. is
Enjoy Maths.!