MathematicsMedium249×since 2002Q2593Let p be the plane passing through the intersection of the planes r→ . (i^+3j^−k^)=5\overrightarrow r \,.\,\left( {\widehat i + 3\widehat j - \widehat k} \right) = 5r.(i+3j−k)=5 and r→ . (2i^−j^+k^)=3\overrightarrow r \,.\,\left( {2\widehat i - \widehat j + \widehat k} \right) = 3r.(2i−j+k)=3, and the point (2, 1, −-−2). Let the position vectors of the points X and Y be i^−2j^+4k^\widehat i - 2\widehat j + 4\widehat ki−2j+4k and 5i^−j^+2k^5\widehat i - \widehat j + 2\widehat k5i−j+2k respectively. Then the points :AX and X + Y are on the same side of PBY and Y −-− X are on the opposite sides of PCX and Y are on the opposite sides of PDX + Y and X −-− Y are on the same side of PCheck answerSkip