New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2009 · Shift 0 · Q35

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2009 · Shift 0 · Q35

Matrices and Determinants question

2009 · Shift 0 · Q35

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

a, b, c

be such that

b\left( {a + c} \right) e 0

if

\left| {\begin{matrix} a & {a + 1} & {a - 1} \\ { - b} & {b + 1} & {b - 1} \\ c & {c - 1} & {c + 1} \\ \end{matrix} } \right| + \left| {\begin{matrix} {a + 1} & {b + 1} & {c - 1} \\ {a - 1} & {b - 1} & {c + 1} \\ {{{\left( { - 1} \right)}^{n + 2}}a} & {{{\left( { - 1} \right)}^{n + 1}}b} & {{{\left( { - 1} \right)}^n}c} \\ \end{matrix} } \right| = 0

then the value of

n

:

A
any even integer
B
any odd integer
C
any integer
D
zero

More from Matrices and Determinants

Let $a, b, c$ be any real numbers. Suppose that there are real numbers $x, y, z$ not all zero such that $x = cy + b z, y = a z + c x,$ and $z = b x + a y .$ Then $a^{2} + b^{2} + c^{2} + 2 ab c$ is equal to :2008 · MCQ
Let $A$ be $a 2 \times 2$ matrix with real entries. Let $I$ be the $2 \times 2$ identity matrix. Denote by tr $(A)$ , the sum of diagonal entries of $a$ . Assume that $a^{2} = I .$ Statement-1 : If $A e I$ and $A e - I$ , then det $(A) = - 1$ …2008 · MCQ
If $D = 111 1 1 + x 1 11 1 + y$ for $x e 0, y e 0,$ then $D$ is :2007 · MCQ
If $A$ and $B$ are square matrices of size $n \times n$ such that $A^{2} - B^{2} = (A - B) (A + B),$ then which of the following will be always true?2006 · MCQ
Let $A = (1324)$ and $B = (a 0 0 b), a, b \in N .$ Then2006 · MCQ
If $A^{2} - A + 1 = 0$ , then the inverse of $A$ is :2005 · MCQ
The system of equations $α x + y + z = α - 1 x + α y + z = α - 1 x + y + α z = α - 1$ has no solutions, if $α$ is :2005 · MCQ
If $a_{1}, a_{2}, a_{3}, ........, a_{n}, .....$ are in G.P., then the determinant $Δ = lo g a_{n} lo g a_{n + 3} lo g a_{n + 6} lo g a_{n + 1} lo g a_{n + 4} lo g a_{n + 7} lo g a_{n + 2} lo g a_{n + 5} lo g a_{n + 8}$ …2005 · MCQ