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Please solve RD Sharma Class 12 Chapter 26 Directions Cosines and Direction Ratio Exercise Multiple Choice Question, question 3 Maths textbook solution.

Answers (1)

Answer: (d) All of these

Hint: Distance between plane passing through points is the length of edge

Given: Points (5,7,9) and (2,3,7)

Solution: In geometry, parallelopiped is a three dimension figure with six parallelogram

                               \leftarrow b\rightarrow

 

Let P and Q be the points. So, all the plane passes through these points. Now distance between planes joining (a,0,0) and (b,0,0) is |b-a|. Similarly, we can generate 3 pairs of plane from each coordinate from these 2 points.

For x-coordinate, value of a is

a=|5-2|=3

For y-coordinate, value of b is

b=|7-3|=4

For z-coordinate value of c is

c=|9-7|=2

Therefore, the edges of the parallelopoid are 3,4,2. Hence option (d) all of these is correct.

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