Three Dimensional Geometry
The lines which intersect
the skew lines y=mx,z=c;y=−mx,z=−c
and the x-axis lie on the surface:
(d.) none of these
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Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0and2lm+2nl−mn=0.
L1 and L2 are two lines whose vector equations are L1:r⃗ =λ((cosθ+3√)i^+(2√sinθ)j^+(cosθ−3√)k^)L2:r⃗ =μ(ai^+bj^+ck^), where λ and μ are scalars and α is the acute angle between L1 andL2. If the angle ′α′ is independent of θ then the value of ′α′ is
Find the length of the perpendicular drawn from point (2,3,4)
to line 24−x=6y=31−z˙
Find the coordinates of a point on the 2x−1=−3y+1=z
atg a distance 414
from the point (1,−1,0)˙
ABC is a triangle and A=(2,3,5),B=(-1,3,2) and C= (λ,5,μ). If the median through A is equally inclined to the axes, then find the value of λ and μ
Find the value of m for which thestraight line 3x−2y+z+3=0=4x+3y+4z+1 is parallel to the plane 2x−y+mz−2=0.
The locus of a point, such that the sum of the squares of its distances from the planesx+y+z=0, x-z=0 and x−2y+z=0 is 9, is
The point of intersecting of the line passing through (0,0,1) and intersecting the lines x+2y+z=1,−x+y−2z=2andx+y=2,x+z=2 with xy-plane is