Circle

JEE Main Mathematics · 10 questions

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• Consider the circle C: x^2+y^2-6 x-8 y-11=0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the…20268 April, Shift 2 · Q24
• Let C be a circle having centre in the first quadrant and touching the x -axis at a distance of 3 units from the origin. If the…20266 April, Shift 2 · Q10
• Let the line x-y=4 intersect the circle C: (x-4)^2+(y+3)^2=9 at the points Q and R. If P(α, β) is a point on C such that PQ=PR,…20266 April, Shift 2 · Q23
• Let the centre of the circle x^2+y^2+2 g x+2 f y+25=0 be in the first quadrant and lie on the line 2 x-y=4. Let the area of an…20266 April, Shift 1 · Q22
• Let the point P be the vertex of the parabola y=x^2-6 x+12. If a line passing through the point P intersects the circle x^2+y^2-2…20265 April, Shift 2 · Q11
• Let P be a moving point on the circle x^2+y^2-6 x-8 y+21=0. Then, the maximum distance of P from the vertex of the parabola x^2+6…20265 April, Shift 1 · Q10
• Let P(3 cos α, 2 sin α), α ≠ 0, be a point on the ellipse x^2/9+y^2/4=1, Q be a point on the circle x^2+y^2-14 x-14 y+82=0 and R…20264 April, Shift 2 · Q10
• 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 a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines x+(k-1)…20262 April, Shift 2 · Q10
• Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal…20262 April, Shift 1 · Q24