MHT CET questions
29293 published questions with worked solutions.
- Find the vector and the cartesian equations of the line through the point (5, 2, -4) and which is parallel to the vector 3 i + 2...
- The line joining points (3, 4, 1) and (5, 1, 6) meets to XY-plane at the point
- The vector equation of the line x + 2 3 = 1 - y 2 = z - 5 7 is
- The lines x - 1 2 = y - 2 3 = z - 3 4 and x - 1 3 = y - 2 4 = z - 3 5 are
- The lines r = (2 i + j - 3 k ) + ( t 6 )(2 i - j + k ) and r = ( i + k ) + t(4 i - j + k ) are perpendicular to each other, then...
- Equation of a line through the points (0, 0, 0) and (1, 2, 3) is
- The lines x - 1 3 = y - 1 -1 = z + 1 0 and x - 4 2 = y + 0 0 = z + 1 3
- If x co-ordinate of a point on the line joining points (2, 2, 1) and (5, 1, -2) is 4, then its z co-ordinate will be
- Equation of a line passing through the point with position vector 2 i - 3 j + 4 k and in the direction of the vector 3 i + 4 j -...
- The angle between the pair of lines r = (3 i + 2 j - 4 k ) + ( i + 2 j + 2 k ) and r = (5 i - 2 k ) + (3 i + 2 j + 6 k ) is
- If G be centroid of the triangle with vertices (1, 2, 0), (0, 0, 2) and (2, 1, 1), then equations of line OG are
- The length of perpendicular from (2, -1, 5) to the line x - 11 10 = y + 2 -4 = z + 8 -11 and the co-ordinates of the foot are
- The shortest distance between lines r = ( i - j ) + (2 i + k ) and r = (2 i - j ) + ( i - j - k ) is
- A line passes through two points A(2, -3, -1) and B(8, -1, 2), the co-ordinates of a point on this line nearer to the origin at a...
- Two lines x 1 = y 2 = z 3 and x + 1 1 = y + 2 2 = z + 3 3 are
- Distance of the point (3, 4, 5) from X-axis is
- A line segment has length 63 and direction ratios are 3, -2, 6. If the line makes an obtuse angle with X-axis, the components of...
- The shortest distance between lines r = (1 - t) i + (t - 2) j + (3 - t) k and r = (s + 1) i + (2s - 1) j - (2s + 1) k is
- The foot of the perpendicular from (0, 2, 3) to the line x + 3 5 = y - 1 2 = z + 4 3 is
- Find the equation of the perpendicular drawn from the point (2, 4, -1) to the line x + 5 = 1 4 (y + 3) = - 1 9 (z - 6) and obtain...