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The coordinates of the point where the line through $(3, - 4, - 5)$ and $(2, - 3, 1)$ crosses the plane $2 x + y + z = 7$ is

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-1,2,7

1,-2,7

1,2,7

-1,-2,7

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Correct option is B

Equation of line through (3,-4,-5) and (2,-3,1) is x−3−1=y+41=z+56=tpoint (3-t,-4+t,-5+6t) subtute in given plane now solve this line and the given plane

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The coordinates of the point where the line through 3,-4,-5 and 2,-3,1 crosses the plane 2x+y+z=7 is

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The coordinates of the point where the line through $(3, - 4, - 5)$ and $(2, - 3, 1)$ crosses the plane $2 x + y + z = 7$ is