Exam Details
JEE ADVANCED 2021 PAPER 1 ONLINE
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Questions
57
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
Paper pattern & analysis
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Topic distribution
Subtopic distribution
Difficulty distribution
57questions
Medium
46
80.7%
Hard
8
14%
Easy
3
5.3%
Question type distribution
57questions
Multiple Choices
30
52.6%
Numerical Answer Type (NAT)
27
47.4%
Syllabus
Full Syllabus
Sample questions from this paper
Questions are selected across the paper subjects wherever the paper contains that variety.
2021 · Physics · Electricity · Capacitor
JEE ADVANCED 2021 PAPER 1 ONLINE
In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 \(\mu\)C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 \(\mu\)C.
The magnitude of q2 is ________________.
The magnitude of q2 is ________________.
Enter a numerical response
2021 · Chemistry · Physical Chemistry · Thermodynamics
JEE ADVANCED 2021 PAPER 1 ONLINE
The value of standard enthalpy, \(\Delta\)Ho (in kJ mol\(-\)1) for the given reaction is _______.
Enter a numerical response
2021 · Mathematics · Algebra · Quadratic Equation And Inequalities
JEE ADVANCED 2021 PAPER 1 ONLINE
For x \(\in\) R, the number of real roots of the equation \(3{x^2} - 4\left| {{x^2} - 1} \right| + x - 1 = 0\) is ________.
Enter a numerical response
2021 · Physics · Electricity · Capacitor
JEE ADVANCED 2021 PAPER 1 ONLINE
In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 \(\mu\)C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 \(\mu\)C.
The magnitude of q1 is ________________.
The magnitude of q1 is ________________.
Enter a numerical response
2021 · Chemistry · Inorganic Chemistry · Coordination Compounds
JEE ADVANCED 2021 PAPER 1 ONLINE
The total number of possible isomers for [Pt(NH3)4Cl2]Br2 is ______.
Enter a numerical response
2021 · Mathematics · Algebra · Matrices And Determinants
JEE ADVANCED 2021 PAPER 1 ONLINE
Let \(\alpha\), \(\beta\) and \(\gamma\) be real numbers such that the system of linear equations
x + 2y + 3z = \(\alpha\)
4x + 5y + 6z = \(\beta\)
7x + 8y + 9z = \(\gamma\) \(-\) 1
is consistent. Let | M | represent the determinant of the matrix
$$M = \left[ {\matrix{ \[\alpha & 2 & \gamma \cr\] \[\beta & 1 & 0 \cr\] { - 1} & 0 & 1 \cr } } \right]$$
Let P be the plane containing all those (\(\alpha\), \(\beta\), \(\gamma\)) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0, 1, 0) from the plane P.
The value of | M | is _________.
x + 2y + 3z = \(\alpha\)
4x + 5y + 6z = \(\beta\)
7x + 8y + 9z = \(\gamma\) \(-\) 1
is consistent. Let | M | represent the determinant of the matrix
$$M = \left[ {\matrix{ \[\alpha & 2 & \gamma \cr\] \[\beta & 1 & 0 \cr\] { - 1} & 0 & 1 \cr } } \right]$$
Let P be the plane containing all those (\(\alpha\), \(\beta\), \(\gamma\)) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0, 1, 0) from the plane P.
The value of | M | is _________.
Enter a numerical response