The equation of the plane containing the line ℓ x − x 1 = m y − y 1 = n z − z 1 is a ( x − x 1 ) + b ( y − y 1 ) + c ( z − z 1 ) = 0 , then

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MathematicsProbabilityGeometrical ProbabilityEasy2 minPYQ_2010

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The equation of the plane containing the line $\frac{x - x _{1}}{ℓ} = \frac{y - y _{1}}{m} = \frac{z - z _{1}}{n}$ is $a (x - x_{1}) + b (y - y_{1}) + c (z - z_{1}) = 0$ , then

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Solution:

If the given plane contains the given line then the normal to the plane, must be perpendicular to the line and the condition for the same is $a ℓ + bm + c n = 0$ .

Stream:BITSATSubject:MathematicsTopic:ProbabilitySubtopic:Geometrical Probability

⏱ 2mℹ️ Source: PYQ_2010

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