Three Dimensional Geometry
The direction ratios of two lines are a,b,c and (b−c),(c−a),(a−b) respectively. The angle between these lines is
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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
Under what condition are the two linesy=mℓx+α,z=nℓx+β; and y=m′ℓ′x+α′,z=n′ℓ′x+β′ Orthogonal?
Find the equation of a line which passes through the point (1,1,1)
and intersects the lines 2x−1=3y−2=4z−3and1x+2=2y−3=4z+1˙
What is the distance between the planesx−2y+z−1=0 and−3x+6y−3z+2=0?
are three collinear points, then find the ratio in which point C
is a vector of magnitude 21 and has direction ratios 2,−3and6,
then find r˙
Find the locus of appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,−3,5)andC(0,7,4)is120.
The centre of the circle given by ri^+2j^+2k^˙=15and∣∣r−(j^+2k^)∣∣=4 is
a. (0,1,2) b. (1,3,5) c. (−1,3,4) d. none of these