NDA Maths Mock Test – 01 – Q70

Question:

Let the plane (2x)/(k) + (2y)/(3) + (z)/(3) = 2 pass through the point (2, 3, -6). What are the direction ratios of a normal to the plane?

Let the plane (2x)/(k) + (2y)/(3) + (z)/(3) = 2 pass through the point (2, 3, -6). What are the direction ratios of a normal to the plane?

Options:

  • < 1, 2, 3 >
  • < 3, 2, 1 >
  • < 2, 3, 6 >
  • < 6, 3, 2 >
  • < 1, 2, 3 >
  • < 3, 2, 1 >
  • < 2, 3, 6 >
  • < 6, 3, 2 >

Correct Answer: b)

Explanation:

Gi√en, equation of plane Z + Ed + £ = 2 and pass through the point (2, 3, —6) the point
i satisfy, then equation of the plane
x2) 23) (-6) _
a a i
‘ >442-2=2=k=2 ‘
.. Equation of plane will be
‘ e+ Zp i=2=3c+2+2=6 i
‘ .”. Direction ratios of the normal to the plane < 3,2,1 >
hon a
TL ‘
@ (1,1,1)
‘

Gi√en, equation of plane Z + Ed + £ = 2 and pass through the point (2, 3, —6) the point
i satisfy, then equation of the plane
x2) 23) (-6) _
a a i
‘ >442-2=2=k=2 ‘
.. Equation of plane will be
‘ e+ Zp i=2=3c+2+2=6 i
‘ .”. Direction ratios of the normal to the plane < 3,2,1 >
hon a
TL ‘
@ (1,1,1)
‘

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