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  • Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 11

Need solution for RD Sharma maths class 12 chapter 28 The Plane exercise Fill in the blank question 11

Answers (1)

Answer:

 -4

Hint:

 Use vector dot product

Given:

 \frac{2x-1}{2}=\frac{2-y}{2}=\frac{2+z}{k}

is parallel to the plane 2x - y + z = 3

Solution:

\begin{aligned} &\frac{x-x_{1}}{a}=\frac{y-y_{1}}{b}=\frac{z-z_{1}}{c}\\ &\Rightarrow \frac{x-\frac{1}{2}}{1}=\frac{y-2}{-2}=\frac{z+1}{9}\\ &\vec{x}=2\hat{i}-\hat{j}+\hat{k}, \quad \vec{b}=\hat{i}-2\hat{j}+\hat{k}\\ &\vec{x}.\vec{b}=0\Rightarrow 2+2+k=0\Rightarrow k=-4 \end{aligned}

 

 

 

Posted by

Gurleen Kaur

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