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The line through P (5, 3) intersects y-axis at Q.  Find the co-ordinates of Q. - Mathematics

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Question

The line through P (5, 3) intersects y-axis at Q. 

Find the co-ordinates of Q.

Sum

Solution

From subpart (ii), the equation of the line PQ
Is x – y = 2
Given that the line intersects with the y – axis, x = 0
Thus, substituting x = 0 in the equation x – y = 2
We have, 0 – y = 2
⇒ y = − 2
Thus, the coordinates point of intersection Q
Are q(0, −2)

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Equation of a Line
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Chapter 14: Equation of a Line - Exercise 14 (C) [Page 197]

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Selina Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
Exercise 14 (C) | Q 20.3 | Page 197
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