Number of values of the parameter #alpha in [0, 2pi]# for which the quadratic function, # (sin alpha) x^2 + 2 cos alpha x + 1/2 (cos alpha +sin alpha)# is the square of a linear function is? (A) 2 (B) 3 (C) 4 (D) 1
1 Answer
Mar 5, 2017
See below.
Explanation:
If we know that the expression must be the square of a linear form then
then grouping coefficients we have
so the condition is
This can be solved obtaining first the values for
We know that