Question

Find the coordinates of the centre of a circle passing through the points A(–2, –3),
B(–1, 0) and C(7, –6).
​

Answer 1

Answer:

c

Step-by-step explanation:

because no value gives o

no value gives 2 - symbol

so c is answer

Answer 2

$\displaystyle\large\underline{\sf\red{Given}}$

✭ A circle passes through the points

• A(-2,-3)
• B(-1,0)
• C(7,-6)

$\displaystyle\large\underline{\sf\blue{To \ Find}}$

◈ The coordinates of the centre of the circle?

$\displaystyle\large\underline{\sf\gray{Solution}}$

Refer to the attachment first!!

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$\underline{\bigstar\:\textsf{According to the given Question :}}$

Solving 3 & 4

➝ $\displaystyle\sf x = -6-3y \:\:\ -eq(5)$

Substituting the value of x in eq(4)

»» $\displaystyle\sf 3(-6-3y)-y-12 = 0$

»» $\displaystyle\sf -18-9y-y-12 = 0$

»» $\displaystyle\sf -10y-30 = 0$

»» $\displaystyle\sf -10y = 30$

»» $\displaystyle\sf y = \dfrac{30}{-10}$

»» $\displaystyle\sf \orange{y = -3}$

Substituting the value of y in eq(5)

➳ $\displaystyle\sf x = -6-3y$

➳ $\displaystyle\sf x = -6-3(-3)$

➳ $\displaystyle\sf x = -6+9$

➳ $\displaystyle\sf \pink{x = 3}$

$\displaystyle\sf \underline{\therefore \sf Coordinates \ of \ the \ center \ is \ O(3,-3)}$

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