Question

The angle between the lines root 3x - y = 2 and 3x = 2 is. (1) 0º (2) 45° (3) 30° (4) 60°​

Answer 1

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★ The angle between the lines root 3x - y = 2 and 3x = 2 .

(1) 0º

(2) 45°

(3) 30°

(4) 60°

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✒ Option.3 ) 30°

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The Given points,

• 3x - y = 2

• 3x + 0.y = 2

Using , y = mx + c

Values of y =

y1 = - ( 2 + 3x ) = - 3x -2

y2 = 0

Values of m =

m1 = -3

m2 = 0

Using the formulae,

➝$tan(A+B) = | \frac{tanA - tanB}{1 + tanAtanB} |$

➝$tan(A+B) = | \frac{ √- 3 - 0}{1+ (-3) \times 0} |$

➝$tan(A+B) = | \frac{ \sqrt 3}{1 } |$

∴ Angle b/w then is tan-1 (√3) = $\frac{1}{ \sqrt{3} }$ = 30∘

➝ The angle between the lines root 3x - y = 2 and 3x = 2 is 30°.

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