If Q(0,1) is equidistant from P(5,_3) and (x,6), find the values of x .Also find...

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August 2021 2 5 Report

If Q(0,1) is equidistant from P(5,_3) and (x,6), find the values of x .Also find the distances QR and PR

Panzer786 Hiii friend,

Q(0,1) , P(5,-3) and R(X,6)

It is being given that Q(0,1) is equidistant from the points P(5,-3) and R(X,6).

So we have,

QP = QR => QP² = QR²

=> (0-5)² + (1-(-3)² = (0-X)² + (1-6)²

=> (-5)² + (1+3)² = (-X)² + (-5)²

=> 25 + 16 = X²+25

=> X² = 16

=> X = ✓16 = 4

The given points are Q(0,1) and R(4,6)

Then,

X1 = 0 , Y1 = 1 and X2 = 4 , Y2 = 6

QR = ✓(X2-X1)² + (Y2-Y1)²

QR = ✓(4-0)² + (6-1)² = ✓16 + 25 = ✓31

And,

Q(0,1) and P(5,-3)

X1 = 0 , Y1 = 1 and X2 = 5 , Y2 = -3

QP= ✓(X2-X1)² + (Y2-Y1)²

QP = ✓(5-0)² + (-3-1)² = ✓25 + 16 = ✓31

HOPE IT WILL HELP YOU...... :-)

Eknoor111 Thank you a lot to help me

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