MHT CET 2026 19th April Evening Shift | Ellipse Question 3 | Mathematics

A tangent having slope $-\dfrac{1}{2}$ to the ellipse $3x^2 + 4y^2 = 12$ intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of $\triangle AOB$ is ...

$4$ sq. units

$8$ sq. units

$12$ sq. units

$16$ sq. units

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The eccentric angle of the point $\mathrm{P}(-6,2)$ of the ellipse $\frac{x^2}{48}+\frac{y^2}{16}=1$ is

$30^{\circ}$

$135^{\circ}$

$150^{\circ}$

$120^{\circ}$

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

The tangent to the ellipse $9 x^2+16 y^2=288$ making equal intercepts on the co-ordinate axes intersects the X -axis and the Y -axis in the points $A$ and $B$ respectively. Then $A(\triangle O A B)=$ (where O is origin)

$\frac{25}{2}$ sq. units

25 sq. units

$\frac{25 \sqrt{5}}{2}$ sq. units

$25 \sqrt{5}$ sq. units

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