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प्रश्न
In the following diagram, write down:
- the co-ordinates of the points A, B and C.
- the equation of the line through A and parallel to BC.
उत्तर
i. The co-ordinates of points A, B and C are (2, 3), (−1, 2) and (3, 0) respectively.
ii. Slope of BC = `(0 - 2)/(3 +1) = (-2)/4 = (-1)/2`
Slope of a line parallel to BC = Slope of BC = `(-1 )/2`
Required equation of a line passing through A and parallel to BC is given by
y − y1 = m(x − x1)
`y − 3 = (-1)/2 (x − 2)`
2y − 6 = −x + 2
x + 2y = 8
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