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Question
The points (3, 4) and (2, – 6) are situated on the ______ of the line 3x – 4y – 8 = 0.
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Solution
The points (3, 4) and (2, – 6) are situated on the opposite of the line 3x – 4y – 8 = 0.
Explanation:
Given line is 3x – 4y – 8 = 0 ......(i)
And the given points are (3, 4) and (2, – 6).
For point (3, 4), line becomes = 3(3) – 4(4) – 8
= 9 – 16 – 8
= 9 – 24
= – 15 < 0
For the point (2, – 6), line becomes = 3(2) – 4(– 6) – 8
= 6 + 24 – 8
= 30 – 8
= 22 > 0
So, the points (3, 4) and (2, – 6) are situated on the opposite sides of 3x – 4y – 8 = 0.
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