MHT CET questions
29293 published questions with worked solutions.
- Distance between foci is 8 and distance between directrices is 6 of hyperbola, then length of latusrectum is
- Two diameters of the circle 3x^2 + 3y^2 - 6x - 18y = 0 are along the lines 3x + y = c_1 and x - 3y = c_2. Then, the value of...
- The circle x^2 + y^2 = 4x + 8y + 5 intersects the line 3x - 4y = m at two distinct points, if
- Equation of tangent to the parabola y^2 = 16x at P(4, 8) is
- Equation of the circle which of the mirror image of the circle x^2 + y^2 - 2x = 0 in the line x + y = 2 is
- If the lines 2x - 3y = 5 and 3x - 4y = 7 are two diameters of a circle of radius 7, then the equation of the circle is
- The equation of parabola with focus (0, 0) and directrix x + y = 4, is
- One of the directrices of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0 is
- The radius of the circle passing through the foci of the ellipse x^2 16 + y^2 9 = 1 and having its centre (0, 3) is
- Equation of the ellipse whose foci are (2, 2) and (4, 2) and the major axis is of length 10 is
- Equation of the latusrectum of the ellipse 9x^2 + 4y^2 - 18x - 8y - 23 = 0 are
- The parametric representation of a point on the ellipse whose foci are (-1, 0) and (7, 0) and eccentricity 1/2 is
- The foci of the ellipse 25x^2 + 16y^2 - 150x = 175 are
- The line x = at^2 meets the ellipse x^2 a^2 + y^2 b^2 = 1, in the real points, iff
- The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line x = 3
- The point of the parabola y^2 = 18x, for which the ordinate is three times the abscissa is
- From the point (-1, -6) two tangents are drawn to the parabola y^2 = 4x. Then, the angle between the two tangents is
- The equation of the directrix of (x - 1)^2 = 2(y - 2) is
- If (-1, -2 2 ) is one of extremity of a focal chord of the parabola y^2 = -8x, then the other extremity is
- A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number ( 1). Then, its...