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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 Point (4, −5) and (−2, 9) is

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प्रश्न

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

विकल्प

  • π/4

  •  π/6

  • π/3

  • 3 π/4

  • 5 π/6

MCQ
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उत्तर

3 π/4

The midpoint of the line joining the points (4, −5) and (−2, 9) is (1, 2).

Let \[\theta\] be the inclination of the straight line passing through the points (−3, 6) and (1, 2).

\[\text { Then }, \tan \theta = \frac{2 - 6}{1 + 3} = - 1\]

\[ \Rightarrow \theta = \frac{3\pi}{4}\]

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Equations of Line in Different Forms - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
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अध्याय 23: The straight lines - Exercise 23.21 [पृष्ठ १३४]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.21 | Q 22 | पृष्ठ १३४

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