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Find the value of p so that the lines : ...

Find the value of p so that the lines : `l_1:(1-x)/3=(7y-14)/(2p)=(z-3)/2 and l_2: (7-7x)/(3p)=(y-5)/1=(6-z)/5` are at right angles. also find the equations of the line passing through (3,2,-4) and parallel to line `l_1`.

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Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and (7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles.

Find the values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 and (7-7x)/3p = (y-5)/1 = (6-z)/5 are at right angles.

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5)/5 are coplanar. Also find the equation of the plane containing the lines.

Show that the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-4)/5 are coplanar. Also find the equation of the plane containing the lines.

Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

Find the cartesian as well as the vector equation of the line passing through : (-1,2,3) and parallel to the line: (x-3)/2=(y+1)/3=(z-1)/6

Find the equations of a line through A(1,-1,0) and parallel to the line (x-2)/3=(2y+1)/2,(5-z)/1 .

Find the equation of plane which passes through the point (1,-1,4) and is parallel to the plane 2x-3y+7z=11 .

Find the cartesian as well as the vector equation of the line passing through : (0,-1,4) and parallel to the straight line : (-x-2)/1=(y+3)/7=(2z-6)/3

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the coordinates of the point where the line through (3, 4, 1) and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

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  16. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  17. Determine whether the following pair of lines intersect : vecr=hati+...

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  18. Find the vector and cartesian equation of the plane which bisects the ...

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

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  20. Find the co-ordinates of the foot of the perpendicular distance of the...

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