Question
Question: If the straight line y = 2x + e is a tangent to the ellipse \(\frac{x^{2}}{8}\)+ \(\frac{y^{2}}{4}\...
If the straight line y = 2x + e is a tangent to the ellipse
8x2+ 4y2= 1, then e will be equal to-
A
±4
B
±6
C
±1
D
± 8
Answer
±6
Explanation
Solution
y = 2x + e .. (1)
8x2+ 4y2= 1 …(2)
Ž Q c2 = a2m2 + b2 Ž e2 = 8(2)2 + 4 Ž e = ?