Home › AP EAPCET (Engineering) › Mathematics › Circle › A circle has its centre at the origin and radius…
A circle has its centre at the origin and radius r. Which equation represents it?
Ax² + y² = r²
Bx² − y² = r²
Cx + y = r
Dx² + y² = r
Answer & Solution
Correct answer: A. x² + y² = r²
Any point (x, y) at distance r from the origin satisfies the distance formula, giving x² + y² = r².
Related questions
Which chord of a circle is the longest possible one?A line meets a radius at right angles at its end on the circle. What is this line?Two chords of a circle are equal. What is true of their distances from the centre?The circle (x - 3)^2 + (y - 4)^2 = 25 passes through which point?A circle is the locus of points in a plane that areA plane cuts a double cone at right angles to its axis. The section is aTo construct a circle on a given diameter, its centre is taken at the diameter'sThe centre of the circle through three non-collinear points is where these lines meet