MHT CET questions
29293 published questions with worked solutions.
- The co-ordinates of the foot of the perpendicular from the point (3, -1, 11) on the line x 2 = y - 2 3 = z - 3 4 are
- The co-ordinates of a point on the line x - 1 2 = y + 1 -3 = z at a distance 4 14 from the point (1, -1, 0) nearer to the origin...
- The length of the perpendicular drawn from the point (5, 4, -1) on the line x - 1 2 = y 9 = z 5 is
- The shortest distance between the lines r = (4 i - j ) + ( i + 2 j - 3 k ) and r = ( i - j + 2 k ) + (2 i + 4 j - 5 k ) is
- The foot of perpendicular from the point (1, 2, 3) to the line x 2 = y - 1 3 = z - 1 3 is
- If the sum of the squares of the distance of a point from the three co-ordinate axes is 36, then its distance from the origin is
- The shortest distance between the lines x - 1 2 = y - 2 3 = z - 3 4 and x - 2 3 = y - 4 4 = z - 5 5 is
- The shortest distance between lines r = ( - 1) i + ( + 1) j - (1 + ) k and r = (1 - ) i + (2 - 1) j + ( + 2) k is
- If x - 1 l = y - 2 m = z + 1 n is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is
- The vector equation r = i - 2 j - k + t(6 j - k ), represents a line passing through points
- The angle between the lines x = 1, y = 2 and y = -1, z = 0 is
- The angle between the straight lines x - 2 2 = y - 1 5 = z + 3 -3 and x + 1 -1 = y - 4 8 = z - 5 4 is
- The lines x = ay + b, z = cy + d and x = a'y + b', z = c'y + d' are perpendicular to each other, if
- If lines x - 1 -3 = y - 2 2k = z - 3 2 and x - 1 3k = y - 5 1 = z - 6 -5 perpendicular to each other, then k is equal to
- The angle between the straight lines x + 1 2 = y - 2 5 = z + 3 4 and x - 1 1 = y + 2 2 = z - 3 -3 is
- The angle between two lines x + 1 2 = y + 3 2 = z - 4 -1 and x - 4 1 = y + 4 2 = z + 1 2 is
- The point of intersection of the lines x - 5 3 = y - 7 -1 = z + 2 1 , x + 3 -36 = y - 3 2 = z - 6 4 is
- The angle between two lines x 2 = y 2 = z -1 and x - 1 1 = y - 1 2 = z - 1 2 is
- The equation of line passing through the point (a, b, c) and parallel to Z-axis is
- The equation of straight line passing through the points (a, b, c) and (a - b, b - c, c - a) is