List of practice Questions

For \(i=1,2,3,4\), suppose the points\((\cosθi,\secθi)\) lie on the boundary of a circle,where \(θi∈[0,\frac{π}{6})\) are distinct. Then \(\cosθ_1\ \cosθ_2\ \cosθ_3\ \cosθ_4\)  equals

Let α,β be the roots of the equation, ax²+bx+c=0.a,b,c are real and s_n=αⁿ+βⁿ and \(\begin{vmatrix}3 &1+s_1  &1+s_2\\1+s_1&1+s_2  &1+s_3\\1+s_2&1+s_3  &1+s_4\end{vmatrix}=\frac{k(a+b+c)^2}{a^4}\) then k=