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A points P(1,2,3) is one vertex of a cub...

A points P(1,2,3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes.
The lengths of the intercepts on the co-ordinate axes made by the plane `5x+2y+z-13=0` are

A

5,2,1 unit

B

`13/5,13/2,13` unit

C

`5/13,2/13,1/13` unit

D

1,2,5 unit

Text Solution

Verified by Experts

The correct Answer is:
B
`5x+2y+z-13 =0`
Putting y = 0 & z = 0
`x=13/5`
`"Putting "y=0 & z=0`
`y=13/2`
Putting `x=0 & y=0`
`z=13`
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NDA PREVIOUS YEARS-3-D GEOMETRY-MCQ
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  2. A points P(1,2,3) is one vertex of a cuboid formed by the coordinate p...

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  3. A points P(1,2,3) is one vertex of a cuboid formed by the coordinate p...

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  4. A plane P passes through the line of intersection of the planes 2x-y+3...

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  5. A plane P passes through the line of intersection of the planes 2x-y+3...

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  6. A plane P passes through the line of intersection of the planes 2x -y ...

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  7. Let Q be the image of the point P(-2,1,-5) in the plane 3x-2y+2z+1=0 ...

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  8. Let Q be the image of the point P(-2,1,-5) in the plane 3x-2y+2z+1=0 ...

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  9. A line L passes through the point P(5, -6,7). and is parallel to the p...

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  10. A line L passes through the point P(5, -6,7). and is parallel to the p...

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  11. A straight line with direction cosines (0,1,0) is (a) parallel to x-ax...

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  12. Find the coordinates of a point equidistant from th four points O(0,0,...

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  13. The points P(3,2,4), Q(4,5,2), R(5,8,0) and S(2,-1,6) are

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  14. The line passing through the points (1, 2, -1) and (3, -1, 2) meets...

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  15. Under which one of the following conditions are the lines x= ay+b, z=c...

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  16. The point of intersection of the line joining the points (-3,4,-8) and...

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  17. The point of intersection of the line joining the points (-3,4,-8) and...

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  18. 31.If the angle between the lines whose direction ratios are 2,-1,2 an...

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  19. A variable plane passes through a fixed point (a ,b ,c) and cuts th...

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  20. The equation of the plane passing through the line of intersection of ...

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