MHT CET questions
29293 published questions with worked solutions.
- The angle between the lines 2x = 3y = -z and 6x = -y = -4z is
- The co-ordinates of the point in which the line joining the points (3, 5, -7) and (-2, 1, 8) is intersected by the plane YZ are...
- A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-ordinates...
- The acute angle between the line joining the points (2, 1, -3), (-3, 1, 7) and a line parallel to x - 1 3 = y 4 = z + 3 5 through...
- The direction ratios of the lines x - y + z - 5 = 0 = x - 3y - 6 are
- The lines x + 1 -10 = y + 3 -1 = z - 4 1 and x + 10 -1 = y + 1 -3 = z - 1 4 intersect at the point
- Angle between lines r = ( i + 2 j - k ) + (3 i - 4 k ) and r = (1 - t)(4 i - j ) + t(2 i + j - 3 k ) is
- The straight line x - 3 3 = y - 2 1 = z - 1 0 is
- Consider the lines: L_1: x + 1 3 = y + 2 1 = z + 1 2 , L_2: x - 2 1 = y + 2 2 = z - 3 3 . The unit vector perpendicular to both...
- The angle between the lines x 1 = y 0 = z -1 and x 3 = y 4 = z 5 is
- The length of the perpendicular drawn from the point (3, -1, 11) to the line x 2 = y - 2 3 = z - 3 4 is
- The co-ordinates of a point on the line x = 4y + 5, z = 3y - 6 at a distance 3 26 from the point (5, 0, -6) are
- A square ABCD of diagonal 2a is folded along the diagonal AC so that the planes DAC and BAC are at right angle. The shortest...
- The equation of motion of a rocket are: x = 2t, y = -4t, z = 4t where the time 't' is given in seconds and the co-ordinates of a...
- The unit vector perpendicular to both L_1: x + 1 3 = y + 2 1 = z + 1 2 and L_2: x - 2 1 = y + 2 2 = z - 3 3 is
- The line x - 2 1 = y - 3 1 = z - 4 -k and x - 1 k = y - 4 2 = z - 5 1 are coplanar, if
- The shortest distance between lines L_1: x + 1 3 = y + 2 1 = z + 1 2 , L_2: x - 2 1 = y + 2 2 = z - 3 3 is
- If the straight lines x - 1 k = y - 2 2 = z - 3 3 and x - 2 3 = y - 3 k = z - 1 2 intersect at a point, then the integer k is...
- Two lines x - 1 2 = y + 1 3 = z - 1 4 and x - 3 1 = y - k 2 = z 1 intersect at a point, then k is
- The equation of line is x - 1 2 = y + 1 -2 = z + 1 1 . The co-ordinates of the point on the line at a distance of 3 units from...