MHT CET questions
29293 published questions with worked solutions.
- Equation of a circle passing through (-1, -2) and concentric with the circle x^2 + y^2 - 3x + 4y - c = 0 is
- If y = 5x is a chord of the circle x^2 + y^2 + 20x = 0, the equation of a circle with this chord as diameter is
- A line through (0, 0) cuts the circle x^2 + y^2 - 2ax = 0 at A and B, then locus of the centre of the circle drawn AB as diameter...
- The equation of the tangents to the circle x^2 + y^2 = 4 which are parallel to x + 2y + 3 = 0, are
- Equation of a circle which passes through (3, 6) and touches the axes is
- The radius of the circle with the polar equation r^2 - 8r( 3 + ) + 15 = 0 is
- The condition for a line y = 2x + c to touch the circle x^2 + y^2 = 16 is
- The locus of the point (l, m), so that the line lx + my = 1 touches the circle x^2 + y^2 = a^2, is
- Circle ax^2 + ay^2 + 2gx + 2fy + c = 0 touches x-axis, if
- If y = 3x is the tangent to a circle with centre (1, 1), then the other tangent drawn through (0, 0) to the circle is
- The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is AB. Equation of the circle on AB as a diameter, is
- Following data gives weights of 10 students (in kgs) in a certain school. The range of the data is 70, 62, 38, 55, 43, 73, 36,...
- The range of the following data (x > 0) x, x+4, x+8, x+1, x+3, x+5 is
- The range of the following data is | Marks | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | Frequency | 4 | 6 | 7 | 1 | 8 |
- Calculate range for the following data | Salary (₹ 00's) | 30 - 50 | 50 - 70 | 70 - 90 | 90 - 110 | 110 - 130 | 130 - 150 |...
- The quantity which leads to a proper measure of dispersion, is
- The variance of first n natural numbers is
- The standard deviation of n observations x_1, x_2, , x_n is given by
- The standard deviation for the following data is | x_i | 3 | 8 | 13 | 18 | 23 | |---|---|---|---|---|---| | f_i | 7 | 10 | 15 |...
- The mean and variance of the following data respectively are | x_i | 92 | 93 | 97 | 98 | 102 | 104 | 109 |...