MHT CET 2026 16th April Evening Shift | Circle Question 10 | Mathematics

Line $l : x + y = 4$ intersects the circle $x^2 + y^2 - 2x - 2y = 2$ at points $A$ and $B$. If C is the center of the circle, then the area of $\triangle ABC$ is...

$\sqrt{2}$

$2$

$2\sqrt{2}$

$4$

MHT CET 2026 16th April Morning Shift

MCQ (Single Correct Answer)

-0

The equations of the tangent to the curve $x^2 + y^2 = 10$, where the tangent is parallel to the line $2x + y - 1 = 0$, are

$2x + y = \pm\sqrt{2}$

$2x + y = \pm 5\sqrt{2}$

$2x + y = \pm 2\sqrt{2}$

$2x + y = \pm 3\sqrt{2}$

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

The angle between the tangents drawn from the origin to the circle $(x-7)^2 + (y+1)^2 = 25$ is

$45^\circ$

$90^\circ$

$60^\circ$

$30^\circ$

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-0

The centre and radius of the circle $(a+1)x^2 + 3y^2 - 6x + 9y + a + 4 = 0$ are respectively ...

$\left(-1, \dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$

$\left(-1, -\dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$

$\left(1, -\dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$

$\left(1, \dfrac{3}{2}\right), \dfrac{\sqrt{5}}{2}$

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