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Find the direction cosines of the line `(x-1)/(1)=(y-2)/(2)=(z-3)/(3)`,

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The direction cosines of the line (x+3)/(2)=(2y-3)/(-3)=(z-1)/(0) are -

Find the distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x)/(2)=(y-5)/(3)=(z+1)/(4)

Write the direction cosines of the line 6x-2=3y+1=2z-4 .

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plane 3x-3y+10z-26=0.

The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x-2y+z=6 is the line of intersection of this plane with the plane

Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance 3sqrt(2) units from the points (1,2,3).

If the cartesian equation of a line AB is (x-1)/(2)=(2y-1)/(12)=(z+5)/(3) , then the direction cosines of a line parallel to AB are -

The direction ratios of the line parallel to the line (x-1)/(3)=(y-5)/(1)=(z-3)/(0) are proportional to -

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and x/2=(y-5)/3=(z+1)/4

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of a plane passing through (1, 1, 1) and parallel to...

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  2. Find the equation of the plane passing through the points(2,1,0),(5,0,...

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  3. Find the direction cosines of the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3),

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  4. The value of m for which straight lein 3x-2y+z+3=0=4 x-3y+4z+1 is pa...

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  5. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

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  6. The length of the perpendicular form the origin to the plane passin...

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  7. In a three-dimensional xyz space, the equation x^(2)-5x+6=0 represents

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  8. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

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  9. A unit vector parallel to the intersection of the planes vec r. \ (...

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  10. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

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  11. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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  12. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

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  13. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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  14. Column I, Column II The coordinates of a point on the line x=4y+...

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  15. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

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  16. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  17. Find the equation of a line which passes through the point (2,3,4) ...

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  18. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

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  19. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

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  20. Find the number of sphere of radius r touching the coordinate axes...

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