MHT CET questions
29293 published questions with worked solutions.
- A line passes through the point (3, -2). The locus of the middle point of the portion of the line intercepted between the axes is
- The length of the perpendicular from the origin to a lines is 7 and the line makes an angle of 150^ with the positive direction...
- If a straight line passes through the points (- 1 2 , 1 ) and (1, 2), then its x-intercept is
- The equation of the line passing through (0, 0) and intersection point of 3x - 4y = 2 and x + 2y = -4 is
- The equation of the perpendicular bisector of the line segment joining A(-2, 3) and B(6, -5) is
- If 3 and 4 are intercepts of a line L 0, then the distance of L 0 from the origin is
- The equation (x - x_1)(x - x_2) + (y - y_1)(y - y_2) = 0 represents a circle whose centre is
- The equation to the hyperbola having its eccentricity 2 and the distance between its foci is 8, is
- The curve represented by x = 3( t + t), y = 4( t - t) is
- The set of values of 'c' so that the equation y = |x| + c and x^2 + y^2 - 8|x| - 9 = 0 have no solution, is
- The locus of the equation x^2 - y^2 = 0, is
- The equation of a tangent parallel to y = x drawn to x^2 3 - y^2 2 = 1, is
- If x^2 + 6x + 20y - 51 = 0, then axis of parabola is
- The value of m, for which the line y = mx + 25 3 3 is a normal to the conic x^2 16 - y^2 9 = 1, is
- The distance between the foci of the conic 7x^2 - 9y^2 = 63 is equal to
- The distance between the foci of the hyperbola x^2 - 3y^2 - 4x - 6y - 11 = 0 is
- The ellipse x^2 + 4y^2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which is turn in inscribed in another...
- The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5, which are parallel to the line y = 3x + 7 are
- If transverse and conjugate axes of hyperbola are equal then it's eccentricity is
- The one which does not represent a hyperbola is