1

JEE Main 2021 (Online) 17th March Morning Shift

Numerical

+4

-1

The maximum value of z in the following equation z = 6xy + y

^{2}, where 3x + 4y $$ \le $$ 100 and 4x + 3y $$ \le $$ 75 for x $$ \ge $$ 0 and y $$ \ge $$ 0 is __________.Your input ____

2

JEE Main 2020 (Online) 5th September Morning Slot

Numerical

+4

-0

If the line, 2x - y + 3 = 0 is at a distance

$${1 \over {\sqrt 5 }}$$ and $${2 \over {\sqrt 5 }}$$ from the lines 4x - 2y + $$\alpha $$ = 0

and 6x - 3y + $$\beta $$ = 0, respectively, then the sum of all possible values of $$\alpha $$ and $$\beta $$ is :

$${1 \over {\sqrt 5 }}$$ and $${2 \over {\sqrt 5 }}$$ from the lines 4x - 2y + $$\alpha $$ = 0

and 6x - 3y + $$\beta $$ = 0, respectively, then the sum of all possible values of $$\alpha $$ and $$\beta $$ is :

Your input ____

3

JEE Main 2020 (Online) 7th January Morning Slot

Numerical

+4

-0

Let A(1, 0), B(6, 2) and C $$\left( {{3 \over 2},6} \right)$$ be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point $$\left( { - {7 \over 6}, - {1 \over 3}} \right)$$, is ________.

Your input ____

Questions Asked from Straight Lines and Pair of Straight Lines (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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