MHT CET questions
29293 published questions with worked solutions.
- The equation of circle which touches the line x = y at origin and passes through the point (2, 1) is x^2 + y^2 + px + qy = 0....
- The area (in sq units) of the circle which touches the lines 4x + 3y = 15 and 4x + 3y = 5 is
- The equations of the circle which pass through the origin and make intercepts of lengths 4 and 8 on the X and Y-axes...
- The locus of centre of a circle which passes through the origin and cut off a length of 4 units from the line x = 3 is
- The radius of the circle x^2 + y^2 + 4x + 6y + 13 = 0 is
- The locus of the centre of the circle for which one end of a diameter is (1, 1) while the other end is on the line x + y = 3, is
- 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
- Which of the following equations gives circle?
- The parametric equations of the circle x^2 + y^2 + mx + my = 0 are
- If (2 + 4 , -1 + 4 ) are parametric coordinates of the circle, then its cartesian equation is
- The centre of the circle x = 2 + 3 , y = 3 - 1 is
- If the line 3x - 4y - k = 0, (k > 0) touches the circle x^2 + y^2 - 4x - 8y - 5 = 0 at (a, b), then k + a + b is equal to
- If a > 2b > 0, then the positive value of m for which y = mx - b 1 + m^2 is a common tangent to x^2 + y^2 = b^2 and (x - a)^2 +...
- The tangent at (1, 7) to the curve x^2 = y - 6 touches the circle x^2 + y^2 + 16x + 12y + c = 0 at
- The circle x^2 + y^2 - 8x + 4y + 4 = 0 touches
- If the straight line y = mx lies outside the circle x^2 + y^2 - 20y + 90 = 0, then the value of m will satisy
- If the line y = x + a is a tangent to the circle x^2 + y^2 = a^2, then
- The locus of the point of intersection of two perpendicular tangents to the circle x^2 + y^2 = 16 is
- The equation of the two tangents from (-5, -4) to the circle x^2 + y^2 + 4x + 6y + 8 = 0 are
- The number of common tangents to the circles x^2 + y^2 - y = 0 and x^2 + y^2 + y = 0 is