Match the following:
Step 1: Understanding Scientific Names and Common Names - Colchicum autumnale → Meadow saffron (IV)
- Dracaena angustifolia → Red dragon (III)
- Yucca gloriosa → Spanish dagger (I)
- Withania somnifera → Ashwagandha (II)
Step 2: Matching Correctly Correct matching: A-IV, B-III, C-I, D-II.
Identify the wrong pair:
If \( \sqrt{5} - i\sqrt{15} = r(\cos\theta + i\sin\theta), -\pi < \theta < \pi, \) then
\[ r^2(\sec\theta + 3\csc^2\theta) = \]
The system of simultaneous linear equations :
\[ \begin{array}{rcl} x - 2y + 3z &=& 4 \\ 2x + 3y + z &=& 6 \\ 3x + y - 2z &=& 7 \end{array} \]
Calculate the determinant of the matrix: