1

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

The number of real roots of the equation

5 + |2

5 + |2

^{x}– 1| = 2^{x}(2^{x}– 2) is2

JEE Main 2019 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

All the pairs (x, y) that satisfy the inequality

$${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}}}} \le 1$$

also satisfy the equation

$${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}}}} \le 1$$

also satisfy the equation

3

JEE Main 2019 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$\alpha $$ and $$\beta $$ are the roots of the quadratic equation,

x

$${{{\alpha ^{12}} + {\beta ^{12}}} \over {\left( {{\alpha ^{ - 12}} + {\beta ^{ - 12}}} \right).{{\left( {\alpha - \beta } \right)}^{24}}}}$$ is equal to :

x

^{2}+ x sin $$\theta $$ - 2 sin $$\theta $$ = 0, $$\theta \in \left( {0,{\pi \over 2}} \right)$$, then$${{{\alpha ^{12}} + {\beta ^{12}}} \over {\left( {{\alpha ^{ - 12}} + {\beta ^{ - 12}}} \right).{{\left( {\alpha - \beta } \right)}^{24}}}}$$ is equal to :

4

JEE Main 2019 (Online) 9th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

If m is chosen in the quadratic equation

(m

such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-

(m

^{2}+ 1) x^{2}– 3x + (m^{2}+ 1)^{2}= 0such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-

Questions Asked from Quadratic Equation and Inequalities (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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