Consider
$$L_1: 2x + 3y + p - 3 = 0$$
$$L_2: 2x + 3y + p + 3 = 0$$
where p is a real number, and $$C : x^2 + y^2 + 6x - 10y + 30 = 0$$.
STATEMENT-1: If line $$L_1$$ is a chord of circle C, then line $$L_2$$ is not always a diameter of circle C.
and
STATEMENT-2: If line $$L_1$$ is a diameterof circle C, then line $$L_2$$ is not a chord of circle C.
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