Given an ellipse and a straight-line equation as below
x ²/2+y²=1 and y = mx + c where m and c are two positive constants. a) If the straight-line is intersecting with the ellipse, show that we can have an equation such as (2m² +1)x² + 4mcx + 2(c² - 1) = 0 [4 marks] b) If the line is a tangent to the ellipse at point (- 4/3, 1/3) and passed the y-axis at 3, find the m and c values. [4 marks]