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Find the distance of the z-axis from ...

Find the distance of the z-axis from the image of the point `M(2-3,3)` in the plane `x-2y-z+1=0.`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

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  19. The equations of the plane which passes through (0,0,0) and which is...

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  20. The x-y plane is rotated about its line of intersection with the y-...

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