MHT CET202015 Oct 2020Evening ShiftMathematicsVector AlgebraActual

If a point P on the line segment joining the points (3,5,-1) and (6,3,-2) has its y - coordinate 2, then its z - coordinate is

Options

A2 15
B17 3
C15 2
D3 17

Correct answer

C. 15 2

Step-by-step solution

Equation of line passing through (3,5,-1) and (6,3,-2) is x-3 3 = y-5 -2 = z+1 -1 =r( say ) Hence coordinates of any point lying on the line are (3 r+3,-2 r+5,-r-1) We have -2 r+5=2 r= 3 2 z coordinate is -r-1= -3 2 -1= -5 2

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