Find the equation of line which makes an angle - with x-axis and cuts an intercept of length a on it-

A is (a , 0), m = tan α ∴ #160; #160;y 0 = tan α (x a) #160; ∴ #160; y = x tan α a tan α ...

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Byju's Answer

Standard XII

Mathematics

Slope Intercept Form of a Line

Find the equa...

Question

Find the equation of line which makes an angle $α$ with x-axis and cuts an intercept of length a on it.

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Solution

A is (a , 0), m = tan $α$
$∴$ y - 0 = tan $α$ (x - a)
$∴$ y = x tan $α$ - a tan $α$

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Find the equation of line which makes an angle α with x-axis and cuts an intercept of length a on it.

A is (a , 0), m = tan α∴ y - 0 = tan α (x - a) ∴ y = x tan α - a tan α

Find the equation of line which makes an angle $α$ with x-axis and cuts an intercept of length a on it.

A is (a , 0), m = tan $α$
$∴$ y - 0 = tan $α$ (x - a)
$∴$ y = x tan $α$ - a tan $α$