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Find the equation of the plane containin...

Find the equation of the plane containing the line : `(x+1)/1=(y-2)/2=(z-3)/3` and perpendicular to the plane 3 x - 2 y - z = 4.

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Find the equation of the plane containing the line : (x-1)/2=(y-2)/-1=(z-3)/4 and perpendicular to the plane x + 2y + z - 2 = 0.

Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(z-3)/2 and perpendicular to the plane 2x - y + 2z -3= 0.

Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1)=(z-4)/(4) and perpendicular to the plane x+2y+z-6=0 .

Find the equation of the plane passing through the line (x-1)/2=(y+1)/1=(z-3)/4 and perpendicular to the plane x+2y-z=12 .

Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-2)/1 and the point (2,2,-1).

Find the equation of the plane containing the line (x+1)/-3=(y-3)/2=(z+2)/1 and the point (0,7,-7).

Find the equation of the plane containing the line (x+2)/2=(y+3)/3=(z-4)/-2 and the point (0,6,0).

Find the equation of the plane through the point (1, - 2, 3) and perpendicular to the planes : x - y + 2z = 3 and 3x + 2y - z = 4.

Find the equation of the plane passing through the point (1, 2, -3) and perpendicular to the planes x + 2y + 3z = 4 and 2x - 3y + 4z = 5.

Find the equation of the plane passing through the point (- 1 , - 1 , 2).and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5 .

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of the plane containing the line : (x+1)/1=(y-2)/2=(...

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  2. Find the direction cosines of a line which makes equal angles with the...

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  3. If the equations of a line AB are (3-x)/1 = (y+2)/-2 = (z-5)/4, then t...

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  4. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  5. Find the vector equation of a line passing through (2, -1, 1) and para...

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  6. Find the vector equation of the line through the point (2,-1,-1) and i...

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  7. Find the point on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance...

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  8. Find the coordinates of the point where the line through (3, 4, 1) and...

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  9. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  10. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  11. Find the vector and cartesian equation of a line through the point (1,...

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  12. Find the vector and cartesian equation of the line passing through the...

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

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  14. Find the equation of a line passing through the points A(0, 6, -9) and...

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  15. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  16. Find the co ordinates of the foot of perpendicular and the length of t...

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  17. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

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  18. Find the shortest distance between the following lines whose vector eq...

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  19. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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  20. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

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

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