Q. 16

Mark against the A. -4

B. -2

C. 4

D. 2

Answer :

Given: Plane 2x – y + z = 0 is parallel to the line



To find: value of a


Formula Used: If two lines with direction ratios a1:a2:a3 and b1:b2:b3 are perpendicular, then


a1b1 + a2b2 + a3b3 = 0


Explanation:


Since the plane is parallel to the line, the normal to the plane will be perpendicular to the line.


Equation of the line can be rewritten as



Direction ratio of the normal to the plane is 2 : -1 : 1


Direction ratio of line is 1 : -2 : a


Therefore,


2 + 2 + a = 0


a = -4


Therefore, a = -4

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