Maths · Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
STATEMENT - 1: The locus of the middle points of equal chords of a circle with c
STATEMENT - 1: The locus of the middle points of equal chords of a circle with centre at 0 is a circle with centre at 0 STATEMENT - 2 : The mid point of the equal chords are equidistant from the centre of the circle.
- A. Statement - 1 is True, Statement - 2 is True, Statement 2 is a correct explanation for Statement - 1
- B. Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement- -
- C. Statement - 1 is True, Statement - 2 is False
- D. Statement-1 is False, Statement- - 2 is True
Step-by-step solution
In a circle, equal chords are equidistant from the centre. The midpoints of these chords lie on a circle concentric with the original circle, whose radius is the distance from the centre to any such chord. Thus Statement 1 is true, and Statement 2 correctly explains why.
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