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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 7.

Need solution for RD Sharma Maths Class 12 Chapter 26 Directions Cosines and Direction Ratios Exercise Very Short Answer Question, question 7.

Answers (1)

Answer:

2:3

Hint:

x=\frac{m x_{2}+n x_{1}}{m+n}

Given:

line segment P(-2, 5, 9) and Q(3, -2, 9)

Solution:

Let R(0, y, z) be the point on y-z plane which divide PQ.

Let the ratio be m:n.

\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{3 m-2 n}{m+n} \\ &0=3 m-2 n \\ &3 m=2 n \\ &\Rightarrow \frac{m}{n}=\frac{2}{3} \\ &\Rightarrow m: n=2: 3 \end{aligned}

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