Test Index

BITSAT 2018 Paper

Section: Mathematics

Question : 119 of 150

Marks: +1, -0

Solution:

Let A = (3, 4, 5), P = (–1, 2, 4)

B = (4, 6, 3) and Q = (1, 0, 5)

∴ Dr's of line AB are (4 – 3), (6 – 4), (3 – 5)= 1, 2, –2

and Dr's of line PQ are (1 + 1), (0 – 2), (5 – 4)= 2, –2, 1

∴ Dc's of line PQ =

\frac{2}{\sqrt{2^2+(-2)^2+1}}

-\frac{2}{3} , \frac{1}{3}

\frac{2}{3}, -\frac{2}{3}, \frac{1}{3}

∴ Projection of line segment AB on the line PQis

\left| \frac{2}{3}(1) + \left(-\frac{2}{3}\right)(2) + \frac{1}{3}(-2) \right|

\frac{4}{3}

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