JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Consider

: 2x + 3y + p - 3 = 0, : 2x + 3y + p + 3 = 0,

where is a real number and . STATEMENT-1: If the line is a chord of the circle then the line is not always a diameter of the circle *and* STATEMENT-2: If the line is a diameter of the circle then the line is not a chord of the circle .

Answer: (C)

Solution

: centre , radius .

- is a chord . - is a diameter .

The chord condition allows a whole interval of (about $-13.2 <

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Question ID VK-110703