Three Dimensional Geometry
Find the vector and cartesian equations of the plane passing through the point (2,−1,1) and perpendicular to the line having direction ratios 4,2,−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 straight line x−x0ℓ=y−y0m=z−z0n is parallel to the plane ax+by+cz+d=0then which one of the following is correct?
Find the equation of the line passing through the points (1,2,3)and(−1,0,4)˙
If a plane meets the equations axes at A,BandC
such that the centroid of the triangle is (1,2,4),
then find the equation of the plane.
Find the radius of the circular section of the sphere ∣r∣=5
by the plane ri^+2j^−k^˙=43˙
If the sum of the squares of the distance of the point (x, y, z) from the points (a, 0, 0) and (-a, 0, 0) is 2c2, then which one of the following is correct?
A horizontal plane 4x−3y+7z=0
is given. Find a line of greatest slope passes
through the point (2,1,1)
in the plane 2x+y−5z=0.
Find the equation of a line which passes through the point (2,3,4)
and which has equal intercepts on the axes.