Question

if the distance between the point (2,-2) and (-1,x) is 5. what is the value of x​ (a) 1 b) 2 c) -1 d)-2​

Answer 1

Answer:

Here is your answer mate,

Step-by-step explanation:

Please check the attachment

Have a good day ❤️

Answer 2

Answer:

• b) 2 is the right option.

Step-by-step explanation:

Given :

Distance b/w the points (2,-2) and (-1,x) is 5.

To find :

The value of x ?

Solution :

• Distance formula.

⇒ √(x2 - x1)² + (y2 - y1)²

Now,

⇒ √(-1 - 2)² + (x - (-2))²

⇒ √(-3)² + (x + 2)²

AB = 5,

⇒ 5 = √9 + (x + 2)²

• Squaring on both sides.

⇒ 5² = 9 + (x + 2)²

⇒ 25 = 9 + (x + 2)²

⇒ 16 = (x + 2)²

⇒ (x + 2)² = 4² or -4²

• Cancelling squares.

⇒ (x + 2) = 4 or (x + 2) = -4

⇒ x = 2 or -6