Find the equation of the circle if end points of one of its diameters are (0, 1) and (-2,5).
Answers
Answered by
1
Answer:
x² + y² + 2x - 6y + 5 = 0
Step-by-step explanation:
Mid point of the line joining them gives the radius of the circle. Using mid-point formula,
Co. of radius = ((0+(-2))/2 , (1+5)/2 )
= (-1 , 3)
Using distance formula,
Radius = distance b/w (-1, 3) and (0, 1)
= √(-1 - 0)² + (3 - 1)²
= √5
Thus, eq. of the circle is, if (x₁, y₁) is radius:
⇒ (x - x₁)² + (y - y₁)² = r²
⇒ (x - (-1))² + (y - 3)² = (√5)²
⇒ x² + 1 + 2x + y² + 9 - 6y = 5
⇒ x² + y² + 2x - 6y + 5 = 0
Answered by
0
Answer:
Let A (0,1) ;B(-2,5)
(x-(0)) (x-1)+(y-(-2)) (y-5)=0
(x-0)(x-1)+(y+2)(y-5) =0
x square -x +y square -5y+2y-10=0
x square -x +y square -3y -10 =0
THEREFORE , the required equation is x square -x +y square -3y -10=0
Similar questions