The value of \(\dfrac{\tan 50^\circ + \sec 50^\circ}{\cot 40^\circ + \csc 40^\circ} + \cos^{2}65^\circ + \sin 65^\circ \cos 25^\circ + \tan 30^\circ\) is:
\(\dfrac{\sqrt{3}(\sqrt{3}+1)}{3}\)
\(2+\sqrt{3}\)
\(\dfrac{6+\sqrt{3}}{3}\)
\(1+\sqrt{3}\)
The pie chart shows the money spent by Aditya through credit cards of different banks. The total money spent by him through credit cards in a year is ₹3,60,000. How much more money was spent through Card C as compared to Card D ?
If \(x^{2} + 4y^{2} + 3z^{2} + \frac{19}{4} = 2\sqrt{3}(x + y + z)\), then the value of (x - 4y + 3z) is:
\(\dfrac{\sqrt{3}}{3}\)
\(2\sqrt{3}\)
\(\sqrt{3}\)
\(\dfrac{\sqrt{3}}{2}\)