MCQ
If $A = [a\,\,b],B = [ - b - a]$ and $C = \left[ \begin{array}{l}\,\,\,\,a\\ - a\end{array} \right]$, then the correct statement is
- A$A = - B$
- B$A + B = A - B$
- ✓$AC = BC$
- D$CA = CB$
$BC = [ - b\,\,\, - a]\,\left[ \begin{array}{l}\,\,\,a\\ - a\end{array} \right] = [{a^2} - ab]$
$\therefore$ $AC = BC$.
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$I.$ There can exist two triangles such that the sides of one triangle are all less than $1$ cm while the sides of the other triangle are all bigger than $10$ metres, but the area of the first triangle is larger than the area of second triangle.
$II$ .If $x, y, z$ are all different real numbers, then $\frac{1}{{{{(x - y)}^2}}} + \frac{1}{{{{(y - z)}^2}}} + \frac{1}{{{{(z - x)}^2}}}$ $=$ ${\left( {\frac{1}{{x - y}} + \frac{1}{{y - z}} + \frac{1}{{z - x}}} \right)^2}$
$III$. $log_3x · log_4x · log_5x = (log_3x · log_4x) $$+ (log_4x · log_5x) + (log_5x · log_3x)$ is true for exactly for one real value of $x.$
$IV$. $A$ matrix has $12$ elements. Number of possible orders it can have is six. Now indicate the correct alternatively.
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