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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2015 · Mathematics · Three Dimensional Geometry

The lengths of the intercepts on the co-ordinate axes made by the...

The lengths of the intercepts on the co-ordinate axes made by the plane 5x+2y+z−13=05 x+2 y+z-13=0 are

Options

  1. A5, 2, 1 unit
  2. B135,132,13\frac{13}{5}, \frac{13}{2}, 13 unit
  3. C513,213,113\frac{5}{13}, \frac{2}{13}, \frac{1}{13} unit
  4. D1, 2, 5 unit

Correct answer

B. 135,132,13\frac{13}{5}, \frac{13}{2}, 13 unit

Step-by-step solution

5x+2y+z−13=05 x+2 y+z-13=0 Putting y=0  and z=0x=135y=0 \ \text{ and } z=0x=\frac{13}{5} Putting z=0  and x=0y=132\mathrm{z}=0 \ \text{ and } \mathrm{x}=0\mathrm{y}=\frac{13}{2} Putting x=0  and y=0z=13x=0 \ \text{ and } y=0\mathrm{z}=13
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