Q 31 :

Consider the triangles with vertices A(2, 1), B(0, 0) and C(t, 4), t[0, 4]. If the maximum and the minimum perimeters of such triangles are obtained at t=α and t=β respectively, then 6α+21β is equal to _____ .             [2023]



(48)

 



Q 32 :

Consider the triangles with vertices A(2, 1), B(0, 0) and C(t, 4), t[0, 4]. If the maximum and the minimum perimeters of such triangles are obtained at t=α and t=β respectively, then 6α+21β is equal to _____ .             [2023]



(48)