CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen
CBSE CLASS XII
Vectors-3D-Lines (4-Marks)
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- Find the equations of line passing through (3, 4, 7) and perpendicular to the lines
- Show that the lines intersect each other: r = -i – 3j – 5k + µ(3i + 5j + 7k) and r = 2i + 4j + 6k + λ(i + 3j + 5k)
- Find the shortest distance between the lines given by and
- Find the shortest distance between the lines
- Find the shortest distance between the lines
- Find the foot of perpendicular from (1, 2, −3) to the line
Also find the length of erpendicular.
- Find the foot of perpendicular from (1,2,3) to the line
Also obtain the equation of plane containing the line and the point (1,2,3)
- Show that the lines
are coplanar Also find the equation of the plane containing the lines. PROVE SD=0
- Let the vectors
be such that
, then find the angle between
is a unit vector
- If
, find the angle between
- Find the coordinate of the foot of perpendicular drawn from the point(1,2,1) to the line joining the points (1,4,6) and (5,4,4).
- Find image of the point (0, 2, 3) in the line r= j+2k + ג (i+2j+3k).
- If
, then prove that
.
- Find the equation of line which passes through the point (1, -1, 2) and parallel to
.Also find the distance between the two parallel lines
- Find the shortest distance between the lines given by
Note That They Are Parallel Lnes
- Find the angle between the diagonals of a cube.
- Find the area of a triangle whose vertices are (-1,2,3),(3,4,-5) and (2,0,5)
- Show that axb+bxc+cxa is perpendicular to the plane of ABC
Submitted By Mrs. E.Praveen
Email Id : [email protected]
