Question : A line passing through the origin perpendicularly cuts the line $3x–2y=6$ at point M. Find the co-ordinates of M.

Option 1: $(\frac{18}{13},\frac{12}{13})$

Option 2: $(\frac{18}{13},-\frac{12}{13})$

Option 3: $(-\frac{18}{13},-\frac{12}{13})$

Option 4: $(-\frac{18}{13},\frac{12}{13})$

Question : If $2x-2(3+4x)<-1-2x>\frac{-5}{3}-\frac{x}{3}$; then $x$ can take which of the following values?

Option 1: 1

Option 2: 2

Option 3: –2

Option 4: –1

Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.

Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$

Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$

Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$

Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$

Question : The graph of the linear equation $y = x$ passes through which points?

Option 1: $(0,\frac{3}{2})$

Option 2: $(1,1)$

Option 3: $(-\frac{1}{2},\frac{1}{2})$

Option 4: $( \frac{3}{2},-\frac{3}{2})$

Question : If $x=5–\sqrt{21}$, the value of $\frac{\sqrt{x}}{\sqrt{32–2x}–\sqrt{21}}$ is:

Option 1: $\frac{1}{\sqrt2}(\sqrt{3}–\sqrt{7})$

Option 2: $\frac{1}{\sqrt2}(\sqrt{7}–\sqrt{3})$

Option 3: $\frac{1}{\sqrt2}(\sqrt{7}+\sqrt{3})$

Option 4: $\frac{1}{\sqrt2}(7–\sqrt{3})$