Question

ii) Find the equation of locus of a point so that it moves from the circumference of
a circle having equation x² + y2 = k where one of the point in the circumference
is (-3,0)
​

Answer 1

Answer: A circle is a set of points (a locus) which are equidistant from a fixed point called the ... If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2. ... Find the equation of each of the following circles, centre (0,0) and having as a tangent the line: ... A circle with centre (-3, -2) passes through the point (1, 1).

Answer 2

Answer:

Equation of the circle be x

2

+y

2

=r

2

.

The chord which subtends an angle

4

π

at the circumference will subtends a right angle at the center.

Chord joining (r,0) and (0,r)subtends a right angle at the center so (h,k) the mid-point of the chord is (

2

r

,

2

r

) and locus of (h,k) is x

2

+y

2

=

2

r

2

Hence radius is

2

r