Question

Q.4) Find the value of x,if the distance between the points (x,-1) and (3,2) is 5.

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Answer 1

Answer:

x= -1,7

Step-by-step explanation:

using dis tance for =mula we get the following

Answer 2

We have to find the value of x, if the distance between the points (x, -1) and (3, 2) is 5.

Let P(x, -1) and Q(3, 2) be the given points. Then,

PQ = 5

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

Squaring both sides,we get,

$\small \mathsf{ \color{purple}{=>(x - 3)2 + 9 = 52 }}$

$\small \mathsf{ \color{purple}{=>x2 - 6x + 18 = 25}}$

$\small \mathsf{ \color{purple}{=> x2 - 6 x - 7 = 0}}$

$\small \mathsf{ \color{purple}{=>(x - 7) (x + 1) = 0}}$

$\small \mathsf{ \color{pink}{=> x = 7 or, x = -1}}$