Let be a point in space and be a point on the line

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Let

P(3, 2, 6)

be a point in space and

Q

be a point on the line

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

. Then the value of

\mu

for which the vector

PQ

is parallel to the plane

x - 4y + 3z = 1

is (1)

\frac{1}{4}

(2)

-\frac{1}{4}

(3)

\frac{1}{8}

(4)

-\frac{1}{8}