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  • Please solve RD Sharma class 12 chapter 27 Straight Line in Space exercise Multiple choice question 17 maths textbook solution

Please solve RD Sharma class 12 chapter 27 Straight Line in Space exercise Multiple choice question 17 maths textbook solution

Answers (1)

Answer: Correct answer is b.

Hint:First find the co-ordinates

Given: (-1,3,2) and (5,0,6)

Solution: Equation of line passing through (-1,3,2)  and (5,0,6.)

\begin{aligned} &\Rightarrow \frac{x+1}{5-(-1)}=\frac{y-3}{0-3}=\frac{z-2}{6-2} \\\\ &\Rightarrow \frac{x+1}{6}=\frac{y-3}{-3}=\frac{z-2}{4}=k \end{aligned}

Any point on it

P(6 k-1,-3 k+3,4 k+2)

x-coordinate:

\begin{aligned} &\Rightarrow 2=6 k-1 \\\\ &\Rightarrow k=\frac{1}{2} \end{aligned}

z-coordinate:

\begin{aligned} &\Rightarrow 4 k+2 \\\\ &\Rightarrow 4\left(\frac{1}{2}\right)+2 \\\\ &\Rightarrow 2+2 \\\\ &\Rightarrow 4 \end{aligned}

So, the correct option is (b) 4.

Posted by

infoexpert26

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