New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2021 · 17 Mar · Shift 2 · Q39

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2021 · 17 Mar · Shift 2 · Q39

Matrices and Determinants question

2021 · 17 Mar · Shift 2 · Q39

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

If 1, log10(4x

-

2) and log10

\left( {{4^x} + {{18} \over 5}} \right)

are in arithmetic progression for a real number x, then the value of the determinant

\left| {\begin{matrix} {2\left( {x - {1 \over 2}} \right)} & {x - 1} & {{x^2}} \\ 1 & 0 & x \\ x & 1 & 0 \\ \end{matrix} } \right|

is equal to :

Numerical answer

More from Matrices and Determinants

The solutions of the equation $1 + sin^{2} x cos^{2} x 4 sin 2 x sin^{2} x 1 + cos^{2} x 4 sin 2 x sin^{2} x cos^{2} x 1 + 4 sin 2 x = 0, (0 < x < π)$ …2021 · MCQ
Let $α$ , $β$ , $γ$ be the real roots of the equation, x3 + ax2 + bx + c = 0, (a, b, c $\in$ R and a, b $e$ 0). If the system of equations (in u, v, w) given by $α$ u + $β$ v + $γ$ w = 0, $β$ u + $γ$ v + $α$ …2021 · MCQ
Let $A + 2 B = 16 - 5 2 - 3 3 031$ and $2 A - B = 220 - 1 - 1 1 562$ …2021 · MCQ
Let the system of linear equations 4x + $λ$ y + 2z = 0 2x $-$ y + z = 0 $μ$ x + 2y + 3z = 0, $λ$ , $μ \in$ R. has a non-trivial solution. Then which of the following is true?2021 · MCQ
Let I be an identity matrix of order 2 $\times$ 2 and P = $[25 - 1 - 3]$ . Then the value of n $\in$ N for which Pn = 5I $-$ 8P is equal to .2021 · Numerical
Let $A = [2 a 30]$ , a $\in$ R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible…2021 · MCQ
Let $A = 100 - 1 10 0 - 1 1$ and B = 7A20 $-$ 20A7 + 2I, where I is an identity matrix of order 3 $\times$ 3. If B = [bij], then b13is…2021 · Numerical
Let a, b, c, d in arithmetic progression with common difference $λ$ . If $x + a - c x - 1 x - b + d x + b x + c x + d x + a x + b x + c = 2$ …2021 · Numerical