Chords of a Circle and Angles at the Centre

JEE Main Mathematics · Circle · 7 questions, latest first

• 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 circle x^2+y^2=4 intersect x -axis at the points A(a, 0), a>0 and B(b, 0). Let P(2 cos α, 2 sin α), 0<α<(π)/2 and Q(2 cos…202628 January, Shift 2 · Q10
• Let the line x+y=1 meet the circle x^2+y^2=4 at the points A and B. If the line perpendicular to AB and passing through the mid…202529 January, Shift 1 · Q11
• Let C be a circle with radius √10 units and centre at the origin. Let the line x+y=2 intersects the circle C at the points P and…20244 April, Shift 2 · Q13
• If one of the diameters of the circle x^2+y^2-10 x+4 y+13=0 is a chord of another circle C, whose center is the point of…202431 January, Shift 1 · Q13
• A line segment AB of length λ moves such that the points A and B remain on the periphery of a circle of radius λ. Then the locus…202310 April, Shift 1 · Q12
• The locus of the mid points of the chords of the circle C_1:(x-4)^2+(y-5)^2=4 which subtend an angle θ_i at the centre of the…202324 January, Shift 2 · Q74