Point lies on the line through having slope and is units away from

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Point PP lies on the line through A(1, 2)A(1,\,2) having slope 33 and is 55 units away from AA. If xP>1x_P>1, the coordinates of PP are (a) (1−102, 2−3102)\left(1-\dfrac{\sqrt{10}}{2},\,2-\dfrac{3\sqrt{10}}{2}\right) (b) (1+3102, 2+102)\left(1+\dfrac{3\sqrt{10}}{2},\,2+\dfrac{\sqrt{10}}{2}\right) (c) (1+102, 2+3102)\left(1+\dfrac{\sqrt{10}}{2},\,2+\dfrac{3\sqrt{10}}{2}\right) (d) (1+54, 2+154)\left(1+\dfrac{5}{4},\,2+\dfrac{15}{4}\right)

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