MHT CET questions
29293 published questions with worked solutions.
- The area of the circle whose centre is at (2, 3) and passing through (4, 6), is
- The locus of the centre of a circle of radius 2 which rolls on the outside of the circle x^2 + y^2 + 3x - 6y - 9 = 0 is
- The point (4, -3) with respect to the ellipse 4x^2 + 5y^2 = 1
- The area of the circle centred at (1, 2) and passing through (4, 6), is
- The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x = 0 and y = 0 is
- The equation of the parabola with vertex (-1, 1) and focus (2, 1) is
- The straight line x + y = c will be tangent to the ellipse x^2 9 + y^2 16 = 1, c is equal to
- If the points (2, 0), (0, 1), (4, 5) and (0, c) are concyclic, then the value of c is
- The equation of the circle concentric to the circle 2x^2 + 2y^2 - 3x + 6y + 2 = 0 and having area double the area of this circle,...
- If the line y = 2x + be a tangent to the hyperbola 36x^2 - 25y^2 = 3600, then is equal to
- The curve described parametrically by x = t^2 + 2t - 1, y = 3t + 5 represents
- The focal distance of a point P on the parabola y^2 = 12x, if the ordinate of P is 6, is
- The locus of a point which moves such that the difference of its distances from two fixed points is always a constant, is
- If P_1, P_2, P_3 are the perimeter of the three circles x^2 + y^2 + 8x - 6y = 0, 4x^2 + 4y^2 - 4x - 12y - 186 = 0 and x^2 + y^2 -...
- The straight line x + y - 1 = 0 meets the circle x^2 + y^2 - 6x - 8y = 0 at A and B. Then, the equation of the circle of which AB...
- A common tangent to 9x^2 - 16y^2 = 144 and x^2 + y^2 = 9, is
- A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end of the diameter through A...
- The coordinates of the centre of the smallest circle passing through the origin and having y = x + 1 as a diameter are
- If the straight line lx + my + n = 0 touches the parabola, y^2 = 4ax, then
- The sum of the focal distances of any point on the conic x^2 25 + y^2 16 = 1 is