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  • Need solution for RD Sharma Maths Class 12 Chapter 26 Directions Cosines and Direction Ratios Exercise Very Short Answer Question, question 10.

Need solution for RD Sharma Maths Class 12 Chapter 26 Directions Cosines and Direction Ratios Exercise Very Short Answer Question, question 10.

Answers (1)

Answer:

c:b

Hint:

z=\frac{mz_2+nz_1}{m+n}

Given:

Two points (a, b, c) and (-a,- c, -b)

Solution:

Let the plane xy divided P(a, b, c) and Q (-a,- c, -b) in (x, y, 0)

Let m:n be the ratio.

\begin{aligned} &x=\frac{m x_{2}+n x_{1}}{m+n} \\ &y=\frac{m y_{2}+n y_{1}}{m+n} \\ &z=\frac{m z_{2}+n z_{1}}{m+n} \\ &0=\frac{m(-b)+n(c)}{m+n} \\ &0=-b m+c n \\ &b m=c n \\ &\Rightarrow \frac{m}{n}=\frac{c}{b} \end{aligned}

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