Question

Among the following which one will be the point on the circle with centers the origin and radius 10 units?

Answer 1

Answer:

The equation of circle with radius 10 and centre (0,0)

x

2

+y

2

=10

2

.................eq(i)

and equation of axes are x=0 and y=0 .............eq(ii)

putting x=0 in eq(i) we get

⇒y

2

=100

⇒y=±10

thus we get two coordinates A(0,10) and C(0,−10)

putting y=0 in eq(i) we get

⇒x

2

=100

⇒x=±10

thus we get two coordinates B(10,0) and D(−10,0)

Calculation of distances between any two adjacent points

AB=

(0−10)

2

+(10−0)

2

=

200

=10

2

units

AB=BC=CD=DA=10

2

units

and,

Calculation of distances between any two opposite points

BD=

(10−(−10))

2

+(0−0)

2

=20units

AC=BD=20units

solution