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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.

MO = NO

∠ NMO = ∠ MNO

∠ MON = 90°

Let ∠ MNO = ∠ NMO = x.

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

⇒ ∠ NMO + ∠ MNO + ∠ MON = 180°

⇒ x + x + 90° = 180°

⇒ 2x = 180° - 90°

⇒ x = 90°2\dfrac{90°}{2}

⇒ x = 45°

Inclination = 180° - 45° = 135°

Hence, the inclination = 135°.

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