MHT CET 2026 18th April Morning Shift | Ellipse Question 5 | Mathematics

If the eccentricity of the ellipse $\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1, (a > b)$ is $\dfrac{2}{3}$ and its focal chord is $3x + 2y - 6 = 0$, then the value of $a^2 + b^2$ is...

$11$

$12$

$13$

$14$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

If the line $3x + 4y + k = 0$ touches the ellipse $9x^2 + 16y^2 = 144$, then the value of k is.

$\pm 3\sqrt{2}$

$\pm 4\sqrt{2}$

$\mp 8\sqrt{2}$

$\mp 12\sqrt{2}$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

The equations of the tangents to the ellipse $\dfrac{x^2}{16} + \dfrac{y^2}{9} = 1$ making an inclination of $30^\circ$ with the major axis are

$x + \sqrt{3}\,y \pm \sqrt{43} = 0$

$x - \sqrt{3}\,y \pm \sqrt{43} = 0$

$\sqrt{3}\,x - y \pm \sqrt{43} = 0$

$x - \sqrt{3}\,y \pm \sqrt{3} = 0$

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

$30^{\circ}$

$135^{\circ}$

$150^{\circ}$

$120^{\circ}$

PREVIOUS NEXT

MHT CET Subjects

Browse all chapters by subject

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry

Inorganic Chemistry

Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry

Organic Chemistry

IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry