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The co-ordinates of a point P are (3, 12...

The co-ordinates of a point P are (3, 12, 4) with respect to origin O, then the direction cosines of OP are

A

3,12,4

B

`1/4,1/3,1/2`

C

`3/sqrt(13),1/sqrt(13),2/sqrt(13)`

D

`3/13,12/13,4/13`

Text Solution

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The correct Answer is:
D
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (1)
  1. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  2. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  3. The projections of a line segment on the coordinate axes are 12,4,3 re...

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  4. The direction cosines of the line joining the points (4,3,-5) and (-2,...

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  5. If (a,b,c) and (a^('),b^('),c^(') ) are the direction ratios of two pe...

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  6. If A(6,3,2), B(5,1,4), C(3,-4,7), D(0,2,5) be from points, the project...

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  7. The angle between the lines whose direction ratios are 1,1,2,sqrt3-1,-...

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  8. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

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  9. Find the angle between the lines whose direction cosines are connec...

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  10. Three lines with direction cosines (1,1,2),(sqrt(3)-1,-sqrt(3)-1,4), (...

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  11. The co-ordinates of a point P are (3, 12, 4) with respect to origin O,...

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  12. The vertices of a triangle ABC are A(-1,2,-3),B(5,0,-6),C(0,4,-1). The...

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  13. The vertices of a triangles ABC are A(-1,2,-3),B(5,0,-6),C(0,4,-1).The...

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  14. The cosine of the angle between any two diagonals of a cube is

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  15. The direction rations of the diagonals of a cube which joins the origi...

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  16. In three dimensional geometry ax+by+c=0 represents (A) a plane perpend...

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  17. Prove that the straight lines whose direction cosines are given by the...

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  18. If the direction ratio of two lines are given by 3lm-4ln+mn=0 and l+2m...

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  19. The plane 2x+y+2z=9 intersects the coordinate axes at A,B,C.The orthoc...

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  20. If the line x=y=z intersects the line xsin A+y sin B + z sin C=2d^(2...

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