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Q.

Find the values of y, if the line joining (3, y) ad (2, 7) is parallel to the line joining the points (–1, 4) and (0, 6).

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Detailed Solution

Given points are
Let  A(3, y), B(2, 7), C(–1, 4), D(0, 6)
Slope of AB = slope of CDCD
⇒7−y2−3=6−40+1⇒7−y−1=21⇒7−y=−2⇒y=9

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