Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2016

MathematicsEasysingle choice

Direction ratios of the line which is perpendicular to the lines with direction ratios $- 1, 2, 2$ and $0, 2, 1$ are

Options:

Answer:

Solution:

Let the direction ratios of the line are a, b, c then using condition for perpendicular lines,
$- a + 2 b + 2 c = 0$ … (i)
$0 + 2 b + c = 0$ … (ii)
Solving (i) & (ii), we get $\frac{a}{- 2} = \frac{b}{1} = \frac{c}{- 2}$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: PYQ_2016

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