1

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let L

$${L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}$$ and $${L_2}:{{x - 1} \over { - 3}} = {y \over { - 1}} = {{z - 1} \over 1}$$.

Suppose the straight line

$$L:{{x - \alpha } \over l} = {{y - 1} \over m} = {{z - \gamma } \over { - 2}}$$

lies in the plane containing L

_{1}and L_{2}be the following straight lines.$${L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}$$ and $${L_2}:{{x - 1} \over { - 3}} = {y \over { - 1}} = {{z - 1} \over 1}$$.

Suppose the straight line

$$L:{{x - \alpha } \over l} = {{y - 1} \over m} = {{z - \gamma } \over { - 2}}$$

lies in the plane containing L

_{1}and L_{2}and passes through the point of intersection of L_{1}and L_{2}. If the line L bisects the acute angle between the lines L_{1}and L_{2}, then which of the following statements is/are TRUE?2

JEE Advanced 2019 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Three lines $${L_1}:r = \lambda \widehat i$$, $$\lambda $$ $$ \in $$ R,

$${L_2}:r = \widehat k + \mu \widehat j$$, $$\mu $$ $$ \in $$ R and

$${L_3}:r = \widehat i + \widehat j + v\widehat k$$, v $$ \in $$ R are given.

For which point(s) Q on L

$${L_2}:r = \widehat k + \mu \widehat j$$, $$\mu $$ $$ \in $$ R and

$${L_3}:r = \widehat i + \widehat j + v\widehat k$$, v $$ \in $$ R are given.

For which point(s) Q on L

_{2}can we find a point P on L_{1}and a point R on L_{3}so that P, Q and R are collinear?3

JEE Advanced 2019 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Let L

$$r = \widehat i + \lambda ( - \widehat i + 2\widehat j + 2\widehat k)$$, $$\lambda $$$$ \in $$ R

and $$r = \mu (2\widehat i - \widehat j + 2\widehat k),\,\mu \in R$$

respectively. If L

_{1}and L_{2}denote the lines$$r = \widehat i + \lambda ( - \widehat i + 2\widehat j + 2\widehat k)$$, $$\lambda $$$$ \in $$ R

and $$r = \mu (2\widehat i - \widehat j + 2\widehat k),\,\mu \in R$$

respectively. If L

_{3}is a line which is perpendicular to both L_{1}and L_{2}and cuts both of them, then which of the following options describe(s) L_{3}?4

JEE Advanced 2018 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Let P

_{1}: 2x + y $$-$$ z = 3 and P_{2}: x + 2y + z = 2 be two planes. Then, which of the following statement(s) is(are) TRUE?Questions Asked from 3D Geometry (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2024 Paper 2 Online (1)
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