- ✓$0$
- B$2\sin 15^\circ $
- C$\cos 15^\circ + \sin 15^\circ $
- D$\sin 15^\circ - \cos 15^\circ $
$\sin 15^\circ + \cos (90^\circ + 15^\circ ) = \sin 15^\circ - \sin 15^\circ = 0$.
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$\mathrm{A}=\left\{(\mathrm{x}, \mathrm{y}) \in \mathbb{Z} \times \mathbb{Z}:(\mathrm{x}-2)^{2}+\mathrm{y}^{2} \leq 4\right\}$
$\mathrm{B}=\left\{(\mathrm{x}, \mathrm{y}) \in \mathbb{Z} \times \mathbb{Z}: \mathrm{x}^{2}+\mathrm{y}^{2} \leq 4\right\} \text { and }$
$\mathrm{C}=\left\{(\mathrm{x}, \mathrm{y}) \in \mathbb{Z} \times \mathbb{Z}:(\mathrm{x}-2)^{2}+(\mathrm{y}-2)^{2} \leq 4\right\}$
If the total number of relation from $\mathrm{A} \cap \mathrm{B}$ to $\mathrm{A} \cap \mathrm{C}$ is $2^{\mathrm{p}}$, then the value of $\mathrm{p}$ is :
$\Delta ABC$ is right angled osceles triangle with hypotenuse $AC = 4\sqrt 2\ units$ then minimum value of $ax^2 + bx + c$ is