The parametric form of the equation of the line 3x-6y-2z-15=0=2x+y-2z-5 is
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a
x−514=y2=z15
b
x−114=y−52=z−115
c
x−314=y+12=z15
d
x+514=y2=z15
answer is C.
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Detailed Solution
The given planes are 3x-6y-2z-15=0=2x+y-2z-5To get a point on the line of intersection of the above two planes, substitute z=0it gives 3x-6y=15,2x+y=5solving the above two equations, we get P3,-1,0Suppose that the direction ratios of line are ⟨a,b,c⟩Hence, 3a−6b−2c=0,2a+b−2c=0 it implies that a14=b2=c15 by cross multiplication methodTherefore, the equation of the line x−314=y+12=z15