Match the following.

Question 14 Marks

Let the equation of circle whose centre is $(h, k)$ and radius is ' $a$ ' is given by
$(x-h)^2+(y-k)^2=a^2$
Then match the following columns.

Column - l	Column - ll
(a) Equation of circle whose centre is at $x$-axis and origin is not on the circumference of the circle.	(i) $x^2+y^2-2 x y=0$
(b) Equation of circle whose centre is at $y$-axis and origin is not on the circumference of the circle.	(ii) $x^2+(y-k)^2=a^2$
(c) Equation of circle whose centre is on the $x$-axis and origin is on the circumference of the circle.	(iii) $x^2+y^2-2 a x=0$
(d) Equation of circle whose centre is on the $y$-axis and origin is on the circumference of the circle.	(iv) $(x-h)^2+y^2=a^2$

Answer

(a) → (iv), (b) → (ii), (c) → (iii), (d) → (i).

Question 24 Marks

Let the equation of circle whose centre is $(h, k)$ and radius is ' $a$ ' is given by
$(x-h)^2+(y-k)^2=a^2$
Then match the following columns.

Column - l	Column - ll
(a) Equation of circle whose centre is at $x$-axis and origin is not on the circumference of the circle.	(i) $x^2+y^2-2 x y=0$
(b) Equation of circle whose centre is at $y$-axis and origin is not on the circumference of the circle.	(ii) $x^2+(y-k)^2=a^2$
(c) Equation of circle whose centre is on the $x$-axis and origin is on the circumference of the circle.	(iii) $x^2+y^2-2 a x=0$
(d) Equation of circle whose centre is on the $y$-axis and origin is on the circumference of the circle.	(iv) $(x-h)^2+y^2=a^2$

Answer

(a) → (iv), (b) → (ii), (c) → (iii), (d) → (i).

Applied Maths Match the following.