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Matrices and Determinants question

2023 · 25 Jan · Shift 1 · Q44

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JEE Main
Mathematics
Matrices and Determinants
2023 · 25 Jan · Shift 1 · Q44

Matrices and Determinants question

2023 · 25 Jan · Shift 1 · Q44

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

\mathrm{A_1,A_2,A_3}

be the three A.P. with the same common difference d and having their first terms as

\mathrm{A,A+1,A+2}

, respectively. Let a, b, c be the

\mathrm{7^{th},9^{th},17^{th}}

terms of

\mathrm{A_1,A_2,A_3}

, respective such that

\left| {\begin{matrix} a & 7 & 1 \\ {2b} & {17} & 1 \\ c & {17} & 1 \\ \end{matrix} } \right| + 70 = 0

. If

a=29

, then the sum of first 20 terms of an AP whose first term is

c-a-b

and common difference is

\frac{d}{12}

, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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