Question

If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is
(a) -7 or -1
(b) -7 or 1
(c) 7 or 1
(d) 7 or -1



Answer it With explanation !​

Answer 1

Answer:

$\huge\pink{AnSwer}$

D) 7 or -1

Explanation :-

Reason: We have

$\sqrt{(x - {3})^{2} } + ( - 1 - {2)}^{2} = 5$

⇒ (x – 3)² + 9 = 25

⇒ x² – 6x + 9 + 9 = 25

⇒ x² -6x – 7 = 0

⇒ (x – 7)(x + 1) = 0

⇒ x = 7 or x = -1

Answer 2

D) 7 or -1Explanation :-Reason: We have{(x - {3})^{2} } + ( - 1 - {2)}^{2} = 5 (x−3) 2 +(−1−2) 2 =5⇒ (x – 3)² + 9 = 25⇒ x² – 6x + 9 + 9 = 25⇒ x² -6x – 7 = 0⇒ (x – 7)(x + 1) = 0⇒ x = 7 or x = -1