MHT CET 2026 19th April Evening Shift | Complex Numbers Question 4 | Mathematics

Point A$(5, 12)$ rotated about the origin O in the XY-plane through an angle of $30^\circ$ in the anticlockwise direction to a new position B. The ordinate of point B is...

$6\sqrt{3} + \dfrac{5}{2}$

$\dfrac{5\sqrt{3}}{2} - 6$

$\dfrac{5\sqrt{3}}{2} + 6$

$6\sqrt{3} - \dfrac{5}{2}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The smallest positive integer $n$ for which $\dfrac{(1 + i)^n}{(1 - i)^{n-2}}$ is a real number, is ...

$1$

$2$

$3$

$4$

MHT CET 2026 18th April Morning Shift

MCQ (Single Correct Answer)

-0

The value of $\left(\dfrac{-1+i\sqrt{3}}{2}\right)^{18} + \left(\dfrac{-1-i\sqrt{3}}{2}\right)^{18}$ is

$2$

$35$

$\sqrt{3}$

$\dfrac{\sqrt{3}}{2}$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

$\dfrac{(\cos 2\theta + i\sin 2\theta)^7}{(\cos 4\theta + i\sin 4\theta)^3} =$

$\cos 2\theta + i\sin 2\theta$

$(\cos 2\theta + i\sin 2\theta)^4$

$\cos 4\theta + i\sin 4\theta$

$(\cos 4\theta + i\sin 4\theta)^{-2}$

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