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In the following, find the inclination of line AB :

In the following, find the inclination of line AB : Co-ordinate Geometry, Concise Mathematics Solutions ICSE Class 9.

Coordinate Geometry

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Answer

In the following, find the inclination of line AB : Co-ordinate Geometry, Concise Mathematics Solutions ICSE Class 9.

∠ NMO = 2x

∠ MNO = x

∠ MON = 90°

As we know that sum of all angles of triangle = 180°

⇒ ∠ NMO + ∠ MNO + ∠ MON = 180°

⇒ 2x + x + 90° = 180°

⇒ 3x = 180° - 90°

⇒ x = 90°3\dfrac{90°}{3}

⇒ x = 30°

Hence, the inclination = 30°.

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