Chord with a given midpoint

JEE Main Mathematics · Circle · 6 questions, latest first

• Suppose that two chords, drawn from the point (1,2) on the circle x^2+y^2+x-3 y=0 are bisected by the y -axis. If the other ends…20264 April, Shift 1 · Q13
• Let y=x be the equation of a chord of the circle C_1 (in the closed half-plane x ≥ 0 ) of diameter 10 passing through the origin.…202628 January, Shift 1 · Q11
• Let a circle C pass through the points (4,2) and (0,2), and its centre lie on 3 x+2 y+2=0. Then the length of the chord, of the…202529 January, Shift 2 · Q11
• Consider the circle C: x^2+y^2=4 and the parabola P: y^2=8 x. If the set of all values of α, for which three chords of the circle…20249 April, Shift 2 · Q27
• Let the locus of the midpoints of the chords of the circle x^2+(y-1)^2=1 drawn from the origin intersect the line x+y=1 at P and…20241 February, Shift 2 · Q14
• The set of all values of a^2 for which the line x+y=0 bisects two distinct chords drawn from a point P((1+a)/2, (1-a)/2) on the…202331 January, Shift 2 · Q75