MHT CET questions
29293 published questions with worked solutions.
- The equation of the normal to the hyperbola x^2 16 - y^2 9 = 1 at (-4, 0) is
- The equation of tangent to the ellipse x^2 + 4y^2 = 5 at (-1, 1), is
- Let AB be the intercept of the line y = x the circle x^2 + y^2 - 2x = 0. Then, the equation of the circle with AB as its diameter...
- The line 3x + 5y = 15 2 is a tangent to the ellipse x^2 25 + y^2 9 = 1, at a point whose eccentric angle is
- Length of major axis of ellipse 9x^2 + 7y^2 = 63 is
- The equation of the parabola with vertex at the origin and directrix y = 2 is
- A hyperbola, having the transverse axis of length 2 , is confocal with the ellipse 3x^2 + 4y^2 = 12. Then, its equation is
- If the line y = 7x - 25 meets the circle x^2 + y^2 = 25 in the points A, B, then the distance between A and B is
- The equation of the tangent to the conic x^2 - y^2 - 8x + 2y + 11 = 0 at (2, 1) is
- Equation of the directrix of parabola 2x^2 = 14y is equal to
- The eccentricity of the ellipse 9x^2 + 5y^2 - 18x - 20y - 16 = 0 is
- For the ellipse 24x^2 + 9y^2 - 120x - 90y + 225 = 0, the eccentricity is equal to
- The total number of tangents through the points (3, 5) that can be drawn to the ellipses 3x^2 + 5y^2 = 32 and 25x^2 + 9y^2 = 450...
- If m_1 and m_2 are the slopes of tangents to the circle x^2 + y^2 = 4 from the point (3, 2), then m_1 - m_2 is equal to
- If x - y + 1 = 0 meets the circle x^2 + y^2 + y - 1 = 0 at A and B, then the equation of the circle with AB as diameter is
- The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axes...
- The conditions that ax + by + c = 0 is tangent to the parabola y^2 = 4ax, is
- The focus of the parabola y^2 - x - 2y + 2 = 0 is
- The length intercepted by the curve y^2 = 4x on the line satisfying dy/dx = 1 and passing through point (0, 1), is given by
- The eccentricity of the ellipse 25x^2 + 16y^2 - 150x - 175 = 0 is