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Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2025 · 29 Jan · Shift 2 · Q31

Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\alpha, \beta \ (\alpha eq \beta)

be the values of

m

, for which the equations

x+y+z=1

,

x+2y+4z=m

and

x+4y+10z=m^2

have infinitely many solutions. Then the value of

\sum\limits_{n=1}^{10} (n^{\alpha}+n^{\beta})

is equal to :

A
3410
B
560
C
3080
D
440

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