NumericalHard4 marks
In what ratio is the line joining P(5, 3) and Q(– 5, 3) divided by the y-axis ? Also find the coordinates of the point of intersection.
Topic: Reflection and plotting
Previous-year question practice database
Answer
Exam answer
P(5,3) Q(−5,3)
The line PQ is horizontal because both points have y-coordinate 3.
The y-axis is x = 0.
The point where PQ meets the y-axis is therefore:
(0,3)
Distances from this point to P and Q are equal:
5 units and 5 units.
Hence the y-axis divides PQ in the ratio:
1 : 1
Answer:
Ratio = 1 : 1 Point of intersection = (0,3).
Explanation
The endpoints are symmetric about the y-axis: their x-coordinates are +5 and −5 while the y-coordinate is the same. Therefore the y-axis passes through the midpoint of PQ.
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