MHT CET questions
29293 published questions with worked solutions.
- A line from the origin meets the lines x - 2 1 = y - 1 -2 = z + 1 1 and x - 8 3 2 = y + 3 -1 = z - 1 1 at P and Q respectively....
- The point in which the line x + 1 -1 = y - 12 5 = z - 7 2 cuts the surface 11x^2 - 5y^2 + z^2 = 0 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 the lines x - 3 3 = y - 8 -1 = z - 3 1 and x + 3 -3 = y + 7 2 = z - 6 4 is
- The lines x - 1 1 = y - 1 2 = z - 1 3 and x - 4 2 = y - 6 3 = z - 7 3 are coplanar. Their point of intersection is
- The point in which the joint of (-9, 4, 5) and (11, 0, -1) is met by the perpendicular from origin is
- The sum of the squares of the distance of a moving point from two fixed point (a, 0) and (-a, 0) is equal to a constant 2C. Then,...
- The locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6, is
- A rod of length l sides with its ends on two perpendicular lines. Then, the locus of its mid-point is
- The equation of the locus of a point which is always equidistant from the points (1, 0) and (0, -2) is
- If any point P is at the equal distances from points A(a + b, a - b) and B(a - b, a + b), then locus of a point is
- If origin is shifted to (7, -4), then point (4, 5) shifted to
- Without change of axes the origin is shifted to (h, k), then from the equation x^2 + y^2 - 4x + 6y - 7 = 0 the terms containing...
- If the coordinates of a point (4, 5) become (-3, 9), then the point of origin be shifted at
- Shift the origin to a suitable point so that the equation y^2 + 4y + 8x - 2 = 0 will not contain term in y and the constant term,...
- The slope of lines, whose indination is 150^ , is
- Find the slope of a line, which makes an angle of 30^ with the positive direction of Y-axis measured anti-clockwise.
- Lines through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Then, the value...
- Slopes of two parallel line are
- If A, B and C are three points in the xy-plane, then they will lie on a line or they are collinear, if and only if