MHT CET questions
29293 published questions with worked solutions.
- The radius of the circle r = 3 + is
- The value of c, for which the line y = 2x + c, is tangent to the parabola y^2 = 4a(x + a), is
- The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse x^2 9 + y^2 5 = 1 is
- Which of the following equations gives circle?
- If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is
- If the line lx + my = 1 is a normal to the hyperbola x^2 a^2 - y^2 b^2 = 1, then a^2 l^2 - b^2 m^2 is equal to
- The line ax + by + c = 0 is normal to the circle x^2 + y^2 + 2gx + 2fy + d = 0, if
- Suppose S and S' are foci of the ellipse x^2 25 + y^2 16 = 1. If P is a variable point on the ellipse and if is area of the...
- The equation of circle is x^2 + y^2 - 2x = 0. The point P(-1, 0) lies
- Length of the straight line x - 3y = 1 intercepted by the hyperbola x^2 - 4y^2 = 1 is
- The equation x^2 2 - - y^2 - 5 - 1 = 0, represent an ellipse, if
- The equation of the circle of radius 5 in the first quadrant which touches x-axis and the line 4y = 3x is
- If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of a circle of area 49 sq unit, the equation of the circle is
- If b and C are the lengths of the segments of any focal chord of a parabola y^2 = 4ax, then the length of the semilatusrectum is
- The foci of an ellipse are (0, 4) and the equations for the directrices are y = 9. The equation for the ellipse is
- The equation of the ellipse having vertices at ( 5, 0) and foci at ( 4, 0) is
- The equation of the hyperbola whose vertices are at (5, 0) and (-5, 0) and one of the directrices is x = 25 7 , is
- If 2x - 4y = 9 and 6x - 12y + 7 = 0 are common tangents to the circle, then radius of the circle is
- The range of values of 'a' such that the angle between the pair of tangents drawn from (a, 0) to the circle x^2 + y^2 = 1...
- The equation of circle whose centre and radius are (1, -1) and 4 respectively, is