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If a line joining two points A (2, 0) and B (3, 1) is rotated about A in anticlockwise direction through
an angle 15º, then equation of the line in the new position is

a
3x+y=23
b
3x−y=23
c
x+3y=23
d
x−3y=23

detailed solution

Correct option is B

Slope of AB =1−03−2=1⇒ ∠BAX=45∘ (Ref. Fig. 16.18) If AC is the new position of the line AB then  ∠CAX=45∘+ 15º = 60ºand thus its equation isy=tan⁡60∘(x−2)y=3(x−2) ⇒ 3x−y=23

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