1

JEE Main 2021 (Online) 20th July Evening Shift

Numerical

+4

-1

Consider a triangle having vertices A($$-$$2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of triangle ABC, bisects line BC, and intersects y-axis at point $$\left( {0,{\alpha \over 2}} \right)$$, then the value of real number $$\alpha$$ is ________________.

Your input ____

2

JEE Main 2021 (Online) 18th March Morning Shift

Numerical

+4

-1

A square ABCD has all its vertices on the curve x

^{2}y^{2}= 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is _________.Your input ____

3

JEE Main 2021 (Online) 17th March Evening Shift

Numerical

+4

-1

Let tan$$\alpha$$, tan$$\beta$$ and tan$$\gamma$$; $$\alpha$$, $$\beta$$, $$\gamma$$ $$\ne$$ $${{(2n - 1)\pi } \over 2}$$, n$$\in$$N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If circumcentre of $$\Delta$$ABC coincides with origin and its orthocentre lies on y-axis, then the value of $${\left( {{{\cos 3\alpha + \cos 3\beta + \cos 3\gamma } \over {\cos \alpha \cos \beta \cos \gamma }}} \right)^2}$$ is equal to ____________.

Your input ____

4

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 ____

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

Number in Brackets after Paper Indicates No. of Questions

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