1
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 ______ .
Your input ____
2
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 _______ .
Your input ____
3
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
Your input ____
4
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
If the system of linear equations,
x + y + z = 6
x + 2y + 3z = 10
3x + 2y + $$\lambda$$z = $$\mu$$
has more than two solutions, then $$\mu$$ - $$\lambda$$2 is equal to ______.
Your input ____
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