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JEE Main Ultimate Online Test Series - 2027
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1
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
The sum of all the real roots of the equation
$$({e^{2x}} - 4)(6{e^{2x}} - 5{e^x} + 1) = 0$$ is
2
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
The number of distinct real roots of the equation
x7 $$-$$ 7x $$-$$ 2 = 0 is
3
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
If the sum of the squares of the reciprocals of the roots $$\alpha$$ and $$\beta$$ of
the equation 3x2 + $$\lambda$$x $$-$$ 1 = 0 is 15, then 6($$\alpha$$3 + $$\beta$$3)2 is equal to :
4
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
The numbers of pairs (a, b) of real numbers, such that whenever $$\alpha$$ is a root of the equation x2 + ax + b = 0, $$\alpha$$2 $$-$$ 2 is also a root of this equation, is :
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