1
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
Let $$\alpha$$ and $$\beta$$ be two real numbers such that $$\alpha$$ + $$\beta$$ = 1 and $$\alpha$$$$\beta$$ = $$-$$1. Let pn = ($$\alpha$$)n + ($$\beta$$)n, pn$$-$$1 = 11 and pn+1 = 29 for some integer n $$\ge$$ 1. Then, the value of p$$_n^2$$ is ___________.
2
JEE Main 2021 (Online) 26th February Morning Shift
Numerical
+4
-1
The sum of 162th power of the roots of the equation x3 $$-$$ 2x2 + 2x $$-$$ 1 = 0 is ________.
3
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1 The number of the real roots of the equation $${(x + 1)^2} + |x - 5| = {{27} \over 4}$$ is ________.
4
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
The least positive value of 'a' for which the equation

2x2 + (a – 10)x + $${{33} \over 2}$$ = 2a has real roots is
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination