Question

Q.10 The distance between the point (2,-2) and (-1,x) is 5, then find the value of x.​

Answer 1

Answer:

x=4

Step-by-step explanation:

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Answer 2

Very easy one

Given

a(2,-2)

b(-1,x)

To find

x

Basic Approach:

use distance formula and find x

Solution:

Let,

x = 2 , y = -2

x1 = -1 , y1 = x

According to the Question

ab = 5 units

now, on squaring both sides,we get:--

ab² = 5² units

=> ab² = 25 units

Now, By using distance formula,we get:-

(x-x1)² + (y1 - y)² = 25

=>[2 -(-1)]² + [x -(-2)]² = 25

=>(2+3)² + (x+2)² = 25

=>25 + x² + 4x + 4 = 25

=>x² + 4x + 29-25 = 0

=>x² + 4x + 4

now , by simply using middle term splitting method we can get the value of x. | 4 = 2×2 and 2+2 = 4

=> x² + 2x +2x + 4 = 0

=> x(x+2) + 2(x+2) = 0

=> (x+2)(x+2) = 0

therefore , x = -2

then , the given point will be B(-1,-2)

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