1

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$\alpha $$x

^{2}+ 2$$\beta $$x + $$\gamma $$ = 0 and x^{2}+ x – 1 = 0 have a common root, then $$\alpha $$($$\beta $$ + $$\gamma $$) is equal to :2

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) is3

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

4

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 :

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

Number in Brackets after Paper Indicates No. of Questions

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