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  • Need solution for RD Sharma maths Class 12 Chapter 28 The Plane Exercise 28.9 Question 10 textbook solution.

Need solution for RD Sharma maths Class 12 Chapter 28 The Plane Exercise 28.9 Question 10 textbook solution.

 

Answers (1)

Answer : The answer of the given question is  37 x+20 y-21 z=61,67 x-20 y+99 z=121

Hint :

          P=\left|\frac{a x_{1}+b y_{1}+c z_{1}+d}{\sqrt{a^{2}+b^{2}+c^{2}}}\right|

Solution :  Let (x,y) be a point which is equidistant from the given plane. Then,

\begin{aligned} &\frac{|3 x-4 y+12 z-6|}{\sqrt{9+16+144}}=\frac{|4 x+3 z-7|}{\sqrt{16+9}} \\ &\frac{3 x-4 y+12 z-6}{13}=\pm \frac{4 x+3 z-7}{5} \end{aligned}

\begin{aligned} &15 x-20 y+60 z-30=52 x+39 z-91 ; 15 x-20 y+60 z-30=-52 x-39 z+91 \\ &37 x+20 y-21 z=61 ; 67 x-20 y+99 z=121 \end{aligned}

 Therefore this is the required equation

Posted by

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