Three Dimensional Geometry
Write the equations of line parallel to the line −3x−2=2y+3=6z+5 and passing through the point (1,−2,3).
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Find the equation of the plane such that image of point (1,2,3)
in it is(−1,0,1)˙
If the lines −3x−1=2ky−2=−2z−3and3kx−1=1y−5=−5z−6 are at right angle, then find the value of k˙
Under what condition do represent direction cosines of a line?
Show that the plane 2x−2y+z+12=0
touches the sphere x2+y2+z2−2x−4y+2z−3=0.
Find the equation of the plane passing through the point (2,3,1)
as the direction ratio is of the normal to the plane.
Which one of the following is the plane containing the lien x−22=y−33=z−45 and parallel to z axis?
Find the angle between the line r=i^+2j^−k^+λ(i^−j^+k^)
and the plane r2i^−j^+k^˙=4.
The distance of point A (-2, 3, 1) from the line PQ through P (- 3, 5, 2), which makes equal angles with the axes is