jee-advanced 2009 Q21

jee-advanced · India · paper1 Vectors: Lines & Planes Parallelism Between Line and Plane or Constraint on Parameters

Let $P ( 3,2,6 )$ be a point in space and $Q$ be a point on the line
$$\vec { r } = ( \hat { i } - \hat { j } + 2 \hat { k } ) + \mu ( - 3 \hat { i } + \hat { j } + 5 \hat { k } )$$
Then the value of $\mu$ for which the vector $\overrightarrow { P Q }$ is parallel to the plane $x - 4 y + 3 z = 1$ is
(A) $\frac { 1 } { 4 }$
(B) $- \frac { 1 } { 4 }$
(C) $\frac { 1 } { 8 }$
(D) $- \frac { 1 } { 8 }$

Let $P ( 3,2,6 )$ be a point in space and $Q$ be a point on the line

$$\vec { r } = ( \hat { i } - \hat { j } + 2 \hat { k } ) + \mu ( - 3 \hat { i } + \hat { j } + 5 \hat { k } )$$

Then the value of $\mu$ for which the vector $\overrightarrow { P Q }$ is parallel to the plane $x - 4 y + 3 z = 1$ is\\
(A) $\frac { 1 } { 4 }$\\
(B) $- \frac { 1 } { 4 }$\\
(C) $\frac { 1 } { 8 }$\\
(D) $- \frac { 1 } { 8 }$

Paper Questions

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