Projection of a Line Segment on a Line
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Q.
The equation of the straight line passing through point of intersection of the straight line and and having infinite slope is:
Q.
Determine, algebraically, the vertices of the triangle formed by the lines
Q.
The lines andare perpendicular to a common line for
No value of
Exactly one value of
Exactly two values of
More than two values of
Q. Find the projection of line joining (1, 2, 3) & (-1, 4, 2) on the line having direction ratios (2, 3 , -6) .
- =
Q. The cartesian equation of the plane passing through the point (3, −2, −1) and parallel to the vectors →b=^i−2^j+4^k and →c=3^i+2^j−5^k, is
- 2x−17y−8z+63=0
- 3x+17y+8z−36=0
- 2x+17y+8z+36=0
- 3x−16y+8z−63=0
Q.
The lines for different values of and pass through the fixed point, whose coordinates are
Q. If the projections of a line on the axes are 9, 12 and 8. Then the length of the line is
- 7
- 17
- 21
- 25
Q. The distance between two points P and Q is d and the length of their projections of PQ on the coordinate planes are d1, d2, d3. Then d21+d22+d23=kd2, where k is
- 1
- 5
- 3
- 2
Q. The distance between two points P and Q is d and the length of their projections of PQ on the coordinate planes are d1, d2, d3. Then d21+d22+d23=kd2, where k is
- 1
- 5
- 3
- 2
Q. The coordinates of the point equidistant from the points (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, 0) are
- (a3, a3, a3)
- (a2, a2, a2)
- (a, a, a)
- (2a, 2a, 2a)
Q. If L1 is the line of intersection of the planes 2x−2y+3z−2=0, x−y+z+1=0 and L2 is the line of intersection of the planes x+2y−z−3=0, 3x−y+2z−1=0, then the distance of the origin from the plane, containing the lines L1 and L2, is
- 12√2
- 1√2
- 14√2
- 13√2
Q. The length of the projection of the line joining (1, 2, 3) and (-1, 4, 2) on the line which has direction ratios (2, 3, -6) is .
- 87
- 78
- 65
- 56
Q.
The projection of any line on co-ordinate axes be respectively 3, 4, 5 then its length is [MP PET 1995; RPET 2001]
None of these
50
12