Question

find the equation of afind the equation of a circle in which the equations of its two diameters are 2x + Y =5 and x- Y=1 and its radius is 5 units ​

Answer 1

Answer:

Step-by-step explanation:

On solving 2x+y=5&x-y=1

We get centre of circle

x=2 &y=1

Eq of circle

(x-2)² - (y-1)² = 5²

Hope it helps you!!!!!

Answer 2

Intersection of 2 diameters gives center,

x and y coordinates are same at intersection

eqn 1+ eqn 2

2x=6

x=3

y=5-6=-1

hence center (h,k) is (3,-1)

hence eqn of circle is,

(x-3)^2+(y+1)^2=5^2

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