🛠️ JEE➗ Maths

If the system of linear equations \(\begin{aligned}& 7 x+11 y+\alpha z=13 \\& 5 x+4 y+7 z=\beta \\& 175 x+19…

Q1

If the system of linear equations
\(\begin{aligned}& 7 x+11 y+\alpha z=13 \\& 5 x+4 y+7 z=\beta \\& 175 x+194 y+57 z=361\end{aligned}\)
has infinitely many solutions, then \(\alpha+\beta+2\) is equal to

[JEE Main 2023, 11 Apr (Shift 2)]

a

4

b

3

c

5

d

6

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