Q. 184.0( 7 Votes )

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Find the equation of the line Passing through (2, 2) and inclined with the x-axis at an angle of 75°.

Answer :

The line passes through (2, 2)

θ = 75^{0}

m = tan 75^{0} = tan(45^{0} + 30^{0}) =

= =

Equation of the line in point-slope form is

y – y_{1} = m(x – x_{1})

y –2 = (x – 2)

((y - 2) = (+1)(x – 2)

( = x - 2+ x – 2)

or (+y - 2 - 2- 2 + 6) = 0

( - 1)x – ( - 1)y = 4 - 4

or ( + 1)x – ( - 1)y = 4( - 1)

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