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Pq is Straight Line of 13 Units. If P Has Coordinate (2, 5) and Q Has Coordinate (X, – 7) Find the Possible Values of X. - Mathematics

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Question

PQ is straight line of 13 units. If P has coordinate (2, 5) and Q has coordinate (x, – 7) find the possible values of x.

Sum

Solution

Here PQ = 13
PQ2 = 132
∴ (x - 2)2 + (-7 - 5)2 = 169
⇒ (x - 2)2 = 169 - 144
= 25 = 52
or
(x - 2) = ± 5
⇒ x = 7 or -3.

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Equation of a Line
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Chapter 11: Coordinate Geometry - Determine the Following

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ICSE Mathematics [English] Class 10
Chapter 11 Coordinate Geometry
Determine the Following | Q 1
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