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The inclination of the straight line passing through the point $A (- 3, 6)$ and the mid-point of the line joining the $B (4, - 5)$ and $C (- 2, 9)$ , with $x -$ axis is

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Correct option is D

The coordinates of the mid-point D of line segment BC are (1, 2).∴ Slope of AD=6-2-3-1=-1⇒ tan⁡θ=−1, where θ is the angle made by AD with x-axis⇒ θ=3π4So, AD makes angle 3π4 with x-axis.

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The inclination of the straight line passing through the point A(-3, 6) and the mid-point of the line joining the B(4,−5) and C(−2,9), with x-axis is

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The inclination of the straight line passing through the point $A (- 3, 6)$ and the mid-point of the line joining the $B (4, - 5)$ and $C (- 2, 9)$ , with $x -$ axis is