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Mathematics · 2026 · 2 marks
CBSE 2026 · Region 5 · Set 1 · Q25
Find the angle between the following pair of lines: (x-2)/3=(y+5)/2=(1-z)/-6 and (x-7)/1=y/2=(6-z)/-2
Find the angle between the following pair of lines : \[\begin{aligned} & \frac{x-2}{3}=\frac{y+5}{2}=\frac{1-z}{-6} \text { and } \\ & \frac{x-7}{1}=\frac{y}{2}=\frac{6-z}{-2} \end{aligned} \]
Marking-scheme solution
Drs of given lines are $\displaystyle \langle 3,2,6\rangle$ and $\displaystyle \langle 1,2,2\rangle$
Let $\displaystyle \theta$ be angle between given lines
$\displaystyle \therefore \cos \theta=\dfrac{3 \times 1+2 \times 2+6 \times 2}{7 \times 3}$
Thus, $\displaystyle \theta=\cos^{-1}\left(\dfrac{19}{21}\right)$
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CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.