Question:
What is the equation of the circle whose diameter is 10 cm and the equation of two of its diameters are x + y = 0 and x – y = 0?
What is the equation of the circle whose diameter is 10 cm and the equation of two of its diameters are x + y = 0 and x – y = 0?
Options:
- a) x 2 + y2 = 0
- b) x2 + y2 = 25
- c) x2 + y2 = 100
- d) x2 + y2 – 2x – 2y – 23 = 0
- a) x 2 + y2 = 0
- b) x2 + y2 = 25
- c) x2 + y2 = 100
- d) x2 + y2 – 2x – 2y – 23 = 0
correct answer : b)
Explanation:
Radius =
10
2
= 5 cm
On solving x + y = 0 and x – y = 0
we get centre (0, 0)
Now, the equation of circle
x
2 + y2 = 25
Radius =
10
2
= 5 cm
On solving x + y = 0 and x – y = 0
we get centre (0, 0)
Now, the equation of circle
x
2 + y2 = 25