List of top Mathematics Questions on Circle asked in MHT CET

If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

If $f(x) = \frac{(27-2x)^{\frac{1}{3}} - 3}{9 - 3(243+5x)^{\frac{1}{5}}}, x \ne 0$ is continuous at $x = 0$, then the value of $f(0)$ is

The line \(y = mx + 3\) is tangent to the parabola \(y^2 = 4x\), if the value of m is

\(\cot^{-1} (2 \cos(2 \text{cosec}^{-1}(\sqrt{2}))) = \dots\)

If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

If $f(x) = \frac{(27-2x)^{\frac{1}{3}} - 3}{9 - 3(243+5x)^{\frac{1}{5}}}, x \ne 0$ is continuous at $x = 0$, then the value of $f(0)$ is