Math, asked by devanshkaku1234, 8 months ago

Find 'y', if the distance between the points (2, -3) and (10, y) be 10 units


Answers

Answered by jagdishprasadsingh46
1

Answer:

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Answered by zubair4355
5

Here is the answer to your question:

Given: AB=10units , A=(2,-3) ,B=(10,y)

To find : Value of y

Solution: The distance AB=√(x2-x1)^2 + (y2-y1)^2

Putting the values in the formula

AB=√(10-2)^2 + (y+3)^2

√8^2+y^2+6y+3^2 = 10

(Squaring both sides)

64+y^2+6y+9=100

y^2+6y+73=100

y^2+6y-27=0

By splitting the middle term

y^2-3y+9y-27=0

y(y-3)+9(y-3)=0

(y+9)(y-3)=0

either y+9=0 or y-3=0 to make to whole equation 0

Therefore y=(-9) or 3

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