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If the line px + gy = r intersects the ...

If the line `px + gy = r` intersects the ellipse `x^2 + 4y^2 = 4` in points, whose eccentric angles differ by `pi/3` , then `r^2` is equal to (A) `3/4(4p^2+q^2)` (B) `4/3(4p^2+q^2)` (C) `2/3(4p^2+q^2)` (D) `3/4(p^2+4q^2)`

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