1
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24,
has infinitely many solutions, then a - b is equal to.........
2
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Let S be the set of all integer solutions, (x, y, z), of the system of equations
x – 2y + 5z = 0
–2x + 4y + z = 0
–7x + 14y + 9z = 0
such that 15 $$\le$$ x2 + y2 + z2 $$\le$$ 150. Then, the number of elements in the set S is equal to ______ .
3
JEE Main 2020 (Online) 3rd September Morning Slot
Numerical
+4
-0
Let A = $$\left[ {\matrix{ x & 1 \cr 1 & 0 \cr } } \right]$$, x $$\in$$ R and A4 = [aij].
If a11 = 109, then a22 is equal to _______ .
4
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
The number of all 3 × 3 matrices A, with enteries from the set {–1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is
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