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Q.

The straight line 3x + 4y - 12=0 meets the coordinate axes at A and B. An equilateral triangle ABC is constructed. The possible coordinates of vertex C are

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a

21−334,321−43

b

(−2(1+3),32(1−3))

c

(2(1+3),32(1+3))

d

21+334,321+43

answer is A.

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Detailed Solution

AB=5,D=(2,32) CD=5×32=532Slope of AB=−34Slope of CD=43lf C = (h, k), then h−23/5=k−3/24/5=±532or  h=2(1−334),k=32(1−43)or  h=2(1+334),k=32(1+43)
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