Question : If p + q = 12 and pq = 14, then find the value of p² – pq + q².

Option 1: 192

Option 2: 181

Option 3: 102

Option 4: 144

Question : If (a + b + c) = 7 and ab + bc + ca = 12, find the value of a² + b² + c².

Option 1: 29

Option 2: 31

Option 3: 27

Option 4: 25

Question : If $m^2-n^2=21$ and $m - n = 3$, find the value of $m + n$.

Option 1: 7

Option 2: 4

Option 3: 24

Option 4: 18

Question : The area and the length of one of the diagonals of a rhombus are 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

Option 1: 12

Option 2: 24

Option 3: 48

Option 4: 36

Question : If $\tan \mathrm{A}=\frac{3}{4}$, then find the value of the following expression $\frac{6 \sin A}{1-\sin A}$.

Option 1: 18

Option 2: 9

Option 3: 24

Option 4: 12