MHT CET questions
29293 published questions with worked solutions.
- Find the angle between the X-axis and the line joining the points (3, -1) and (4, -2).
- Find the equation of the lines which cuts-off intercepts on the axes whose sum and product are 1 and -6, respectively.
- If PS is a median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3), then the equation of the line passing through (1,...
- A straight line perpendicular to the line 2x + y = 3 is passing through (1, 1). Its y-intercept is
- The angle between the straight lines x - y 3 = 5 and 3 x + y = 7 is
- The angle between the line joining the points (1, -2), (3, 2) and the line x + 2y - 7 = 0 is
- The equation of line parallel to the Y-axis and drawn through the point of intersection of x - 7y + 5 = 0 and 3x + y - 7 = 0 is
- Equations of diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1 are
- If p is the length of the perpendicular from the origin to the line, whose intercepts with the coordinate axes are 1 3 and 1 4 ,...
- For a > b > c > 0, if the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and bx + ay + c = 0...
- The locus of a point P which moves such that 2PA = 3PB, where coordinates of points A and B are (0, 0) and (4, -3), is
- What is the equation of the locus of a point which moves such that 4 times its distance from the X-axis is the square of its...
- A rod of length l slides with its ends on two perpendicular lines. The locus of the point which divides it in the ratio 1 : 2,...
- The equation of the locus of a point equidistant from the points A(1, 3) and B(-2, 1) is
- The origin is shifted to (1, 2). The equation y^2 - 8x - 4y + 12 = 0 changes to y^2 = 4ax, then a is equal to
- Find the point to which the origin should be shifted after a shifting of origin so that the following equation will have no first...
- If the origin be shifted to the point (h, k), then the point (-1, 8) become (-7, 3), where h and k respectively are
- If the angle between two lines is 4 and slope of the lines is 1 2 , then which of the following is not the slope of the other...
- Find the angle between the lines y = (2 - 3 )(x + 5) and y = (2 + 3 )(x - 7).
- Find angles between the lines 3 x + y = 1 and x + 3 y = 1