Q.

The slope of a straight line through A(3,2) is 3/4 then the coordinates of the two points on the line that are 5 units away from A are

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a

(-7,5) (1,-1)

b

(7,5) (-1,-1)

c

(6,9) (-2,4)

d

(7,3) (-2,1)

answer is B.

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Detailed Solution

(x1,y1)=(3,2)tanθ=34    sinθ=35, cosθ=45(x,y)=(x1±rcosθ,y1±rsinθ)          =3±545, 2±535          =3±4, 2±3 =(7, 5)  (-1, -1)
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The slope of a straight line through A(3,2) is 3/4 then the coordinates of the two points on the line that are 5 units away from A are