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Q.

The inclination of the straight line passing through the point (−3,6)  and the mid-point of the line joining the points (4,−5)  and (−2,9)  is

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a

π4

b

π6

c

π3

d

3π4

answer is D.

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Detailed Solution

Let A≡(−3,6),B≡(4,−5)  and C≡(−2,9) And M  be the mid-point of BC  thenM≡(4−22,−5+92)=(1,2)Slope of AM =2−61−(−3)=−44=−1       =−tanπ4=tan(π−π4)=tan3π4
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The inclination of the straight line passing through the point (−3,6)  and the mid-point of the line joining the points (4,−5)  and (−2,9)  is