MHT CET questions
29293 published questions with worked solutions.
- The vector equation of the line, which passes through the point i + 2 j + 3 k and parallel to line r = (-2 i - 3 j + 3 k ) + t (-...
- The line joining the points (1, 2, 3), (-1, -2, -3) and the line joining points (-2, 1, 5), (1, 2, 3) are ..............
- Lines r = a _1 + t b _1 and r = a _2 + t b _2 are parallel if ................
- The value of k so that x - 1 -3 = y - 2 2k = z - 3 2 and x - 1 3k = y - 1 1 = z - 6 -5 may be perpendicular is given by...
- The length of the projection of the segment joining (x_1, y_1, z_1) and (x_2, y_2, z_2) on the line through ( , , ) and with...
- The lines x - 2 1 = y - 3 -1 = z + 4 2 and x + 1 -3 = y - 1 3 = z -6 are ..............
- The direction cosines of line joining (4, 3, -5) and (-2, 1, -8) are ..........
- The distance of the point (3, 4, 5) from Y-axis is ................
- The angle between any two diagonals of a cube is..............
- The length of the perpendicular from origin to the line x - 4 3 = y - 2 4 = z - 4 -5 is ........................
- Direction ratios of Z-axis are..........
- The lines x - 1 1 = y - 2 2 = z - 3 3 and x 2 = y + 2 2 = z - 3 -2 are............
- If a line, which lies in xz plane, makes angle 30^ with Z-axis then its d.c.s. are .........
- The lines x 1 = y 2 = z 3 and x - 1 -2 = y - 2 -4 = z - 3 -6 are..........
- The lines x - 1 2 = y - 1 3 = z - 3 0 and x - 2 0 = y - 3 0 = z - 4 1 are ............
- The angle between the lines x - 2 3 = y + 1 -2 = z - 2 0 and x - 1 2 = y + 3 2 3 = z + 5 4 is
- The equation of the straight line passing through the points (4, -5, -2) and (-1, 5, 3) is
- The equation of line is r = p + t( q - p ) where P( p ) (3, 4, 1) and Q( q ) (5, 1, 6). The value of t for which the line crosses...
- The equation of line 2x + z - 4 = 0 = 2y + z in symmetric form is
- Find the vector equation of the line that passes through the points (3, -2, -5) and (3, -2, 6)