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Show that the lines (x+1)/(3)=(y+3)/(5)...

Show that the lines `(x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1)=(y-4)/(3)=(z-6)/(5)`
intersect. Also find their point of intersection.

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The correct Answer is:
x-20y+27x=14
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Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(3)=(z-6)/(5) intersect.Also find the their point of intersection.

Show that the lines (x)/(1) =(y-2)/(2)=(z+3)/(3) " and " (x-2)/(2) =(y-6)/(3) =(z-3)/(4) intersect and find their point of intersection.

Show that the lines : (x + 1)/(3) = (y + 3)/(5) = (z + 5)/(7) and " " (x -2)/(1) = (y - 4)/(3) = (z -6)/(5) intersect each other. Also, find the their point of intersection.

Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5) and (x+2)/(4)=(y-1)/(3)=(z+1)/(-2) do not intersect.

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) " and " (x-4)/(5)=(y-1)/(2)=z intersect each other . Find their point of intersection.

Prove that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(4)=(z-6)/(7) are coplanar. Also, find the plane containing these two lines

Show that the lines (x-4)/(1) = (y+3)/(-4) = (z+1)/(7) and (x-1)/(2) = (y+1)/(-3) = (z+10)/(8) intersect. Also find the co-ordinates of their point of intersection.

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

Show that the lines (x-1)/(2)=(y-2)/(y-1)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect

CBSE COMPLEMENTARY MATERIAL-THREE DIMENSIONAL GEOMETRY -FOUR MARK QUESTIONS
  1. Find the equation of a plane containing the point (0,-1,-1),(-4,4,4...

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  2. Find the equation of the plane which is perpendicualr to the plane v...

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  3. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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  4. Find the equation of the plane passing through the lineof intersection...

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  5. Find the vector equation of the line passing through the poin...

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  6. Find the equation of the plane through the points A(3,4,2) and B(7,0,6...

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  7. The equation of the plane through the intersection of the planes vecr....

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  8. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

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  9. Find image (reflection )of the point (7,4,-3) in the line (x)/(1)=(y-1...

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  10. find the equation of a plane passing through the points (2,-1,0) and (...

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  11. Find the distance of the point (-1,-5,-10) from the point of interse...

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

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

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  14. Find the shortest distacne between the lines vecr=hati+2hatj+3hatk+m...

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  15. Find the distacne of the point (2,3,-4) from the line (x+2)/(3)=(2y+3)...

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

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  17. Find the equation of a plane passing through (-1,3,2) and parallel to ...

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  18. Show that the plane vecr.(hati-3hatj+5hatk)=7 contains the line vecr=(...

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  19. Check the co planarity of lines vecr=(-3hati+hatj+5hatk)+lambda(-3h...

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