1

JEE Main 2020 (Online) 3rd September Evening Slot

Numerical

+4

-0

Out of Syllabus

Let a plane P contain two lines

$$\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)$$, $$\lambda \in R$$ and

$$\overrightarrow r = - \widehat j + \mu \left( {\widehat j - \widehat k} \right)$$, $$\mu \in R$$

If Q($$\alpha $$, $$\beta $$, $$\gamma $$) is the foot of the perpendicular drawn from the point M(1, 0, 1) to P, then 3($$\alpha $$ + $$\beta $$ + $$\gamma $$) equals _______.

$$\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)$$, $$\lambda \in R$$ and

$$\overrightarrow r = - \widehat j + \mu \left( {\widehat j - \widehat k} \right)$$, $$\mu \in R$$

If Q($$\alpha $$, $$\beta $$, $$\gamma $$) is the foot of the perpendicular drawn from the point M(1, 0, 1) to P, then 3($$\alpha $$ + $$\beta $$ + $$\gamma $$) equals _______.

Your input ____

2

JEE Main 2020 (Online) 9th January Evening Slot

Numerical

+4

-0

Out of Syllabus

If the distance between the plane,
23x – 10y – 2z + 48 = 0 and the plane

containing the lines $${{x + 1} \over 2} = {{y - 3} \over 4} = {{z + 1} \over 3}$$

and $${{x + 3} \over 2} = {{y + 2} \over 6} = {{z - 1} \over \lambda }\left( {\lambda \in R} \right)$$

is equal to $${k \over {\sqrt {633} }}$$, then k is equal to ______.

containing the lines $${{x + 1} \over 2} = {{y - 3} \over 4} = {{z + 1} \over 3}$$

and $${{x + 3} \over 2} = {{y + 2} \over 6} = {{z - 1} \over \lambda }\left( {\lambda \in R} \right)$$

is equal to $${k \over {\sqrt {633} }}$$, then k is equal to ______.

Your input ____

3

JEE Main 2020 (Online) 9th January Morning Slot

Numerical

+4

-0

The projection of the line segment joining the
points (1, –1, 3) and (2, –4, 11) on the line
joining the points (–1, 2, 3) and (3, –2, 10)
is ____________.

Your input ____

4

JEE Main 2020 (Online) 7th January Evening Slot

Numerical

+4

-0

If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through ($$\alpha $$, 7, 1)
is
$$\left( {{5 \over 3},{7 \over 3},{{17} \over 3}} \right)$$, then $$\alpha $$ is equal to______.

Your input ____

Questions Asked from 3D Geometry (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2024 (Online) 9th April Evening Shift (1)
JEE Main 2024 (Online) 8th April Evening Shift (1)
JEE Main 2024 (Online) 4th April Evening Shift (1)
JEE Main 2024 (Online) 1st February Morning Shift (1)
JEE Main 2024 (Online) 31st January Evening Shift (1)
JEE Main 2024 (Online) 31st January Morning Shift (1)
JEE Main 2024 (Online) 30th January Evening Shift (1)
JEE Main 2024 (Online) 30th January Morning Shift (1)
JEE Main 2024 (Online) 29th January Evening Shift (1)
JEE Main 2024 (Online) 29th January Morning Shift (1)
JEE Main 2024 (Online) 27th January Evening Shift (1)
JEE Main 2023 (Online) 15th April Morning Shift (1)
JEE Main 2023 (Online) 13th April Morning Shift (1)
JEE Main 2023 (Online) 12th April Morning Shift (1)
JEE Main 2023 (Online) 11th April Evening Shift (1)
JEE Main 2023 (Online) 11th April Morning Shift (1)
JEE Main 2023 (Online) 10th April Evening Shift (1)
JEE Main 2023 (Online) 8th April Evening Shift (1)
JEE Main 2023 (Online) 8th April Morning Shift (1)
JEE Main 2023 (Online) 6th April Evening Shift (1)
JEE Main 2023 (Online) 6th April Morning Shift (1)
JEE Main 2023 (Online) 1st February Evening Shift (2)
JEE Main 2023 (Online) 31st January Morning Shift (2)
JEE Main 2023 (Online) 30th January Evening Shift (1)
JEE Main 2023 (Online) 30th January Morning Shift (2)
JEE Main 2023 (Online) 29th January Morning Shift (2)
JEE Main 2023 (Online) 25th January Evening Shift (1)
JEE Main 2023 (Online) 25th January Morning Shift (1)
JEE Main 2023 (Online) 24th January Evening Shift (1)
JEE Main 2023 (Online) 24th January Morning Shift (1)
JEE Main 2022 (Online) 29th July Morning Shift (1)
JEE Main 2022 (Online) 28th July Morning Shift (1)
JEE Main 2022 (Online) 27th July Morning Shift (1)
JEE Main 2022 (Online) 26th July Evening Shift (2)
JEE Main 2022 (Online) 26th July Morning Shift (1)
JEE Main 2022 (Online) 25th July Morning Shift (1)
JEE Main 2022 (Online) 30th June Morning Shift (1)
JEE Main 2022 (Online) 29th June Morning Shift (2)
JEE Main 2022 (Online) 28th June Evening Shift (1)
JEE Main 2022 (Online) 27th June Morning Shift (1)
JEE Main 2022 (Online) 25th June Evening Shift (1)
JEE Main 2022 (Online) 25th June Morning Shift (1)
JEE Main 2022 (Online) 24th June Morning Shift (2)
JEE Main 2021 (Online) 31st August Evening Shift (1)
JEE Main 2021 (Online) 31st August Morning Shift (1)
JEE Main 2021 (Online) 27th August Evening Shift (1)
JEE Main 2021 (Online) 26th August Evening Shift (1)
JEE Main 2021 (Online) 26th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (1)
JEE Main 2021 (Online) 25th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Morning Shift (1)
JEE Main 2021 (Online) 18th March Evening Shift (2)
JEE Main 2021 (Online) 18th March Morning Shift (2)
JEE Main 2021 (Online) 17th March Evening Shift (1)
JEE Main 2021 (Online) 17th March Morning Shift (1)
JEE Main 2021 (Online) 16th March Evening Shift (1)
JEE Main 2021 (Online) 26th February Morning Shift (1)
JEE Main 2021 (Online) 25th February Evening Shift (1)
JEE Main 2021 (Online) 24th February Evening Shift (1)
JEE Main 2020 (Online) 4th September Morning Slot (1)
JEE Main 2020 (Online) 3rd September Evening Slot (1)
JEE Main 2020 (Online) 9th January Evening Slot (1)
JEE Main 2020 (Online) 9th January Morning Slot (1)
JEE Main 2020 (Online) 7th January Evening Slot (1)

JEE Main Subjects

Physics

Mechanics

Units & Measurements Vector Algebra Motion Circular Motion Laws of Motion Work Power & Energy Center of Mass and Collision Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation

Electricity

Electrostatics Current Electricity Capacitor Magnetic Effect of Current Magnetic Properties of Matter Electromagnetic Induction Alternating Current Electromagnetic Waves

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Structure of Atom Redox Reactions Gaseous State Chemical Equilibrium Ionic Equilibrium Solutions Thermodynamics Electrochemistry Chemical Kinetics and Nuclear Chemistry Solid State Surface Chemistry

Inorganic Chemistry

Periodic Table & Periodicity Chemical Bonding & Molecular Structure Isolation of Elements Hydrogen s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry

Organic Chemistry

Mathematics

Algebra

Sets and Relations Logarithm Quadratic Equation and Inequalities Sequences and Series Mathematical Induction Binomial Theorem Matrices and Determinants Permutations and Combinations Probability Vector Algebra 3D Geometry Complex Numbers Statistics Mathematical Reasoning

Trigonometry

Trigonometric Ratio and Identites Trigonometric Equations Inverse Trigonometric Functions Properties of Triangle Height and Distance

Coordinate Geometry

Calculus