MHT CET questions
29293 published questions with worked solutions.
- Area of the equilateral triangle inscribed in the circle x^2 + y^2 - 7x + 9y + 5 = 0 is
- The curve represented by the equation 4x^2 + 16y^2 - 24x - 32y - 12 = 0 is
- Axis of a parabola is y = x and vertex and focus are at a distance 2 and 2 2 respectively from the origin. Then, equation of the...
- The equation of circle which touches the x-axis and y-axis at the points (1, 0) and (0, 1) respectively, is
- The latusrectum of the hyperbola 9x^2 - 16y^2 + 72x - 32y - 16 = 0 is
- The distance between the directrices of the hyperbola x = 8 , y = 8 is
- Locus of the point which divides double ordinate of the ellipse x^2 a^2 + y^2 b^2 = 1 in the ratio 1 : 2 internally, is
- For the hyperbola x^2 ^2 - y^2 ^2 = 1, which of the following remains constant when varies?
- The vertex of the parabola x^2 + 2y = 8x - 7 is
- The centre of the ellipse 9x^2 + 25y^2 - 18x - 100y - 166 = 0, is
- Equation of the parabola with its vertex at (1, 1) and focus (3, 1) is
- If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be
- (-6, 0), (0, 6) And (-7, 7) are the vertices of ABC. The incircle of the triangle has equationNot in JEE syllabus
- If the area of the circle 4x^2 + 4y^2 - 8x + 16y + k = 0 is 9 sq unit, then the value of k is
- If t is a parameter, then x = a (t + 1 t ), y = b (t - 1 t ) represents
- If e_1 is the eccentricity of the ellipse x^2 16 + y^2 7 = 1 and e_2 is the eccentricity of the hyperbola x^2 9 - y^2 7 = 1, then...
- The eccentricity of the hyperbola 5x^2 - 4y^2 + 20x + 8y = 4 is
- How many real tangents can be drawn to the ellipse 5x^2 + 9y^2 = 32 form the point (2, 3)?
- The equation the tangent parallel to y - x + 5 = 0, drawn to x^2 3 - y^2 2 = 1 is
- The value of m, for which the line y = mx + 2 becomes a tangent to the conic 4x^2 - 9y^2 = 36 are