MHT CET questions
29293 published questions with worked solutions.
- A straight line, which makes an angle 60^ with each of Y and Z-axis, inclined with X-axis at an angle .........
- The angle between the lines 2x = 3y = -z and 6x = -y = -4z is ................
- If a straight line is equally inclined with each co-ordinate axis, then angle made by it with each axis is ................
- The acute angle between the lines whose direction cosines are connected by the relations l + m + n = 0 and 2lm + 2nl - mn = 0 is...
- If a line makes angles , , with X, Y, Z axes respectively then 2 + 2 + 2 is equal to ..............
- The Points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear if k is equal to ..........
- If , , are direction angles of straight line, then ^2 + ^2 + ^2 is equal to ......
- The direction cosines of a moving line in two adjacent positions are l, m, n and l + l, m + m, n + n, the small angle between the...
- The vector equation of a line passing through a point ( i + 2 j - 3 k ) and perpendicular to the vectors i + j + k and 2 i + j -...
- The line x - 1 2 = y - 2 3 = z + 1 1 contains the points...........
- The vector equation of the line passing through A( a ) and perpendicular to the lines x - x_1 a_1 = y - y_1 b_1 = z - z_1 c_1 and...
- The straight lines whose d.c.s. satisfy al + bm + cn = 0 and fmn + gnl + hlm = 0 are perpendicular if ...................
- If a line makes a angles , , , with the four diagonals of a cube, then ^2 + ^2 + ^2 + ^2 = ........
- The projection of the line joining (3, 4, 5) and (4, 6, 3) on the line joining (-1, 2, 4) and (1, 0, 5) is ..................
- Vector form of the equation of line 2x - 1 3 = 3y 2 = z 0 is ..................
- Vector equation of Y-axis is ..............
- The vector equation of the line passing through the points A( a ) and B( b ) is ........
- The straight line through (a, b, c) and parallel to X-axis is ..........
- The equation of the line through the point (1, 2, 3) and equally inclined to the co-ordinate axes is ...............
- Which one of the following can be direction cosine of the line?