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Find the length of perpendicular from (2...

Find the length of perpendicular from (2,1,3) on the line
`(x-4)/(5)=(y-2)/(4)=(z-3)/(3)`

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Verified by Experts

The correct Answer is:
`(sqrt(227))/(5)`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VIII) Long Answer Type Questions
  1. Find the length of perpendicular from (2,1,3) on the line (x-4)/(5)=...

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  2. Find the perpendicular distance of (1,0,0) from the line (x-1)/(2)=(y+...

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  3. Find the length and foot of perpendicular drawn from the point (2,-1,3...

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  4. Find the equation of line parallel to x-axis

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  5. Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...

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  6. Find the image of the point P(3,4,2) in the line vec(r)=-hat(i)+3hat(j...

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  7. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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  8. Write the vector equation of the following lines and hence find distan...

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  9. Find the equation of the plane through the point (0, 0, 0) and (3, -1 ...

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  10. Find the equation of the plane passing through the points (2,1,0), (3,...

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  11. Find the equation of the plane through the points (2,-3,-1) and (5,2,-...

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  12. Find the vector equation of the plane through the points (2,1,-1) and ...

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  13. Find the equation of the plane passing through (1,1,-1) and perpendicu...

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  14. Find the equation of the plane passing through (-1,-1,2) and perpendic...

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  15. Find the length and the foot of the perpendicular from the point (7, 1...

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  16. Find the image of (2,-1,3) in the plane 3x-2y-z=9.

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  17. A variable plane which remains at a constant distance 3p from the orig...

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  18. Find the cartesian and vector equations of the planes passing through ...

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  19. Find the distance of the point P(6,5,9) and from the plane through the...

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  20. Find the distance of the point (2,3,4) measured parallel to the line (...

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