MHT CET 2026 18th April Morning Shift | Circle Question 7 | Mathematics

The tangent to the circle $x^2 + y^2 = 10$ at the point $(3,1)$ touches the circle $x^2 + y^2 - 2\sqrt{10}\,x - 20y + k = 0$, then the value of $k$ is...

$-109$

$109$

$-101$

$101$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

If the circles $x^2 + y^2 = 16$ and $x^2 + y^2 + 2ax + 4y + 4 = 0$ touch each other internally then $a =$

$\dfrac{2}{3}$

$\dfrac{1}{56}$

$\dfrac{-2}{3}$

$\dfrac{3}{2}$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

If a circle passes through the points $(2,3)$ and $(4,5)$ and its center lies on the straight line $y - 4x + 3 = 0$, then its equation is......

$x^2 + y^2 - 4x - 10y + 25 = 0$

$x^2 + y^2 - 4x - 10y - 25 = 0$

$x^2 + y^2 - 4x + 10y - 25 = 0$

$x^2 + y^2 + 25 = 0$

MHT CET 2026 16th April Evening Shift

MCQ (Single Correct Answer)

-0

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...

$\sqrt{2}$

$2$

$2\sqrt{2}$

$4$

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