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Statement 1: There exist two points o...

Statement 1: There exist two points on the `(x-1)/1=y/(-1)=(z+2)/2` which are at a distance of 2 units from point `(1,2,-4)dot` Statement 2: Perpendicular distance of point `(1,2,-4)` form the line `(x-1)/1=y/(-1)=(z+2)/2` is 1 unit.

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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

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

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

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

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  6. Find the distance of the z-axis from the image of the point M(2-3,3...

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  7. A line with direction cosines proportional to 1,-5, a n d-2 meets li...

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  8. If the planes vec r ( hat i+ hat j+ hat k)=q1, vec r ( hat i+2a hat j...

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  9. The equation of a line passing through the point vec a parallel to ...

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  10. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

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  11. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

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  12. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  13. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

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  14. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

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  15. What is the equation of the plane which passes through the z-axis and ...

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  16. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

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  17. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

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  18. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

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  19. A rod of length 2 units whose one ends is (1, 0, -1) and other end to...

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  20. The equation of the plane which is equally inclined to the lines (x-...

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