XII MATHS | ONLINE ONE MARK TEST | VOLUME - 1

TN Class 12 Maths - Interactive Revision Quiz

Test your knowledge with these 10 questions. Select the best answer for each.

Q1:If $A = \begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix}$, $B = \operatorname{adj}(A)$, and $C = 3A$, then what is the value of $\frac{|\operatorname{adj}(B)|}{|C|}$?

$\frac{1}{3}$ $\frac{1}{9}$ $\frac{1}{27}$ $1$

Q2:If $A \begin{pmatrix} 1 & -2 \\ 1 & 4 \end{pmatrix} = \begin{pmatrix} 6 & 0 \\ 0 & 6 \end{pmatrix}$, then what is the matrix $A$?

$\begin{pmatrix} 1 & -2 \\ 1 & 4 \end{pmatrix}$ $\begin{pmatrix} 4 & 2 \\ -1 & 1 \end{pmatrix}$ $\begin{pmatrix} 4 & -2 \\ 1 & 1 \end{pmatrix}$ $\begin{pmatrix} 1 & 2 \\ -1 & 4 \end{pmatrix}$

Q3:If $z = x + iy$ is a complex number such that $|z + 2| = |z - 2|$, then what is the locus of $z$?

Real axis Imaginary axis A circle A parabola

Q4:What is the principal argument of $\left(\sin 40^\circ + i \cos 40^\circ\right)^5$?

$-110^\circ$ $110^\circ$ $-70^\circ$ $70^\circ$

Q5:Which of the following is a zero of the polynomial $x^3 + 64$?

$4$ $-4$ $8$ $-8$

Q6:If $\sin^{-1} x + \sin^{-1} y = \frac{2\pi}{3}$, then what is the value of $\cos^{-1} x + \cos^{-1} y$?

$\frac{\pi}{3}$ $\frac{\pi}{6}$ $\frac{2\pi}{3}$ $\pi$

Q7:If $|x| \le 1$, then what is the value of $2\tan^{-1} x - \sin^{-1}\left(\frac{2x}{1+x^2}\right)$?

$0$ $\pi$ $\frac{\pi}{2}$ $2\tan^{-1}x$

Q8:What is the eccentricity of the ellipse $(x-3)^2 + (y-4)^2 = \frac{y^2}{9}$?

$\frac{\sqrt{3}}{2}$ $\frac{1}{9}$ $\frac{1}{3}$ $\frac{2}{3}$

Q9:What is the perpendicular distance from the origin to the plane $3x - 6y + 2z + 7 = 0$?

$7$ $1$ $-1$ $\frac{7}{49}$

Q10:What is the number of positive roots of the polynomial $\sum_{j=0}^{n} {}^nC_j (-1)^j x^j = 0$?

$0$ $1$ $n$ $n-1$

Quiz Results

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