MHT CET 2026 18th April Morning Shift | Application of Derivatives Question 19 | Mathematics

If the side of an equilateral triangle increases at the rate of $\sqrt{3}\ \text{cm/sec}$, then the rate of change of increase of its area when the side is $12\ \text{cm}$ is ____

$18\ \text{cm}^2/\text{sec}$

$10\ \text{cm}^2/\text{sec}$

$12\ \text{cm}^2/\text{sec}$

$3\sqrt{3}\ \text{cm}^2/\text{sec}$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

The coordinates of the points on the curve $4y = x^2$ that are nearest to the point $(0,5)$ are ...

$(-2\sqrt{3}, 3)$

$(2\sqrt{3}, -3)$

$(3, 2\sqrt{3})$

$(2\sqrt{3}, 2)$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

The equation of the tangent to the curve $y = \sqrt{9 - 3x^2}$ at the point where the ordinate and abscissa equal is...

$x - 3y + 3 = 0$

$3x - y - 3 = 0$

$x + 3y - 6 = 0$

$3x + y - 6 = 0$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

If the line $y = 4x - 5$ is tangent to the curve $y^2 = ax^3 + b$ at the point $(2,3)$, then the value of $7a - 2b$ is...

$0$

$7$

$14$

$28$

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