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Find the direction cosine of a line para...

Find the direction cosine of a line parallel to the line `(2x-5)/(4)=(y+4)/(3)=(6-z)/(6)`

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The correct Answer is:
`lt(2)/(7),(3)/(7),(-6)/(7)gt`
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Find the distance of the point (2,3,4) measured parallel to the line (x-3)/(3)=(y-2)/(6)=(z)/(2) from the plane 3x+2y+2z-5=0

Find the direction cosine of a line joining the points (3,7,-4) and (-2,3,5).

Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x)/(2)=(y)/(3)=(z)/(-6) .

Find the distance of the point (1, 0, -3) from the plane x-y-z=9 measured parallel to the line (x-2)/(2)=(y+2)/(3)=(z-6)/(-6) .

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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the equation of the plane passing through the points (1,2,-1),(...

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

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  3. Find the direction cosine of a line parallel to the line (2x-5)/(4)=(y...

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  4. Find the equation of the straight line passing through the point (2,-1...

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

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  6. Find the equation of a plane passing through the points (1,1,2) and (1...

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  7. Find the equation of the plane through the point (-1, -1, 2) and (3, 4...

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  8. Find the equation of the plane passing through the point(-1, 3, 2) and...

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  9. A variable plane which is at a constant 6 p from the origin meets the ...

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  10. Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z...

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  11. 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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  12. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  13. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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  14. Find the vector equation of the plane through the intersection of the ...

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  15. Find the equation of the plane through the intersection of the planes ...

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  16. Find the equation of the straight line through the point (1,-3,2) and ...

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  17. Find the equation of the straight line passing through the point (2,3,...

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  18. Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat...

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  19. Find the equation of the plane through the point (1,1,1), parallel to ...

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  20. Find the distance between the point with position vector -hat(i)-5hat(...

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