Question

find the value 1Б ХУ, Чxy , 6xy , laxy​

Answer 1

Given points are A(6, 1), B(1, 3) and C(x, 8). We need to find the value of x such that AB = BC.

We know that the distance between the points (x1, y1) and (x2, y2) is

⇒ AB = BC

⇒ AB2 = BC2

⇒ (6 - 1)2 + (1 - 3)2 = (1 - x)2 + (3 - 8)2

⇒ (5)2 + (- 2)2 = (1 - x)2 + (- 5)2

⇒ 25 + 4 = 1 - 2x + x2 + 25

⇒ x2 - 2x - 3 = 0

⇒ x2 - 3x + x - 3 = 0

⇒ x(x - 3) + 1(x - 3) = 0

⇒ (x + 1)(x - 3) = 0

⇒ x + 1 = 0 (or) x - 3 = 0

⇒ x = - 1 (or) x = 3

∴ The values of x are - 1 or 3.

Answer 2

$\huge \bold\red{❥︎Answer❀✿°᭄}$

Given points are A(6, 1), B(1, 3) and C(x, 8). We need to find the value of x such that AB = BC.

We know that the distance between the points (x1, y1) and (x2, y2) is

⇒ AB = BC

⇒ AB2 = BC2

⇒ (6 - 1)2 + (1 - 3)2 = (1 - x)2 + (3 - 8)2

⇒ (5)2 + (- 2)2 = (1 - x)2 + (- 5)2

⇒ 25 + 4 = 1 - 2x + x2 + 25

⇒ x2 - 2x - 3 = 0

⇒ x2 - 3x + x - 3 = 0

⇒ x(x - 3) + 1(x - 3) = 0

⇒ (x + 1)(x - 3) = 0

⇒ x + 1 = 0 (or) x - 3 = 0

⇒ x = - 1 (or) x = 3

∴ The values of x are - 1 or 3.