MHT CET 2026 15th April Morning Shift | Three Dimensional Geometry Question 53 | Mathematics

The direction cosines of a line which is perpendicular to the lines $\dfrac{x-7}{2} = \dfrac{y+17}{-3} = \dfrac{z-6}{1}$ and $\dfrac{x+5}{1} = \dfrac{y+3}{2} = \dfrac{z-6}{-2}$ are...

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\mp 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\mp 7}{3\sqrt{10}}$

$\dfrac{\mp 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

$\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

MHT CET 2026 15th April Morning Shift

MCQ (Single Correct Answer)

-0

The equation of the plane containing the lines $\dfrac{x-1}{2} = \dfrac{y+1}{\lambda} = \dfrac{z}{2}$ and $\dfrac{x+1}{5} = \dfrac{y+1}{2} = \dfrac{z}{\lambda}$ is

$x \pm y + 1 = 0$

$y \pm z + 1 = 0$

$x \pm z + 1 = 0$

$y \pm z - 1 = 0$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The co-ordinates of the point in which line joining $(1,1,1)$ and $(2,2,2)$ intersects the plane $x+y+\mathrm{z}=9$ are

$(3,4,2)$

$(2,3,4)$

$(3,2,4)$

$(3,3,3)$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The equation of plane passing through $(1,0,0)$ and $(0,1,0)$ and making an angle $45^{\circ}$ with the plane $x+y-3=0$ is

$x+y \pm \sqrt{2} z-1=0$

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

$\quad x+y \pm \sqrt{3} z-1=0$

$\quad 2 x+2 y \pm \sqrt{3} z-2=0$

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