Tangent to a circle

JEE Main Mathematics · Circle · 10 questions, latest first

• Let r be the radius of the circle, which touches x - axis at point (a, 0), a<0 and the parabola y^2=9 x at the point (4,6). Then…20258 April, Shift 2 · Q23
• Let C be the circle x^2+(y-1)^2=2, E_1 and E_2 be two ellipses whose centres lie at the origin and major axes lie on x-axis and…20254 April, Shift 1 · Q23
• The absolute difference between the squares of the radii of the two circles passing through the point (-9, 4) and touching the…20252 April, Shift 1 · Q22
• Let C be the circle of minimum area touching the parabola y=6-x^2 and the lines y=√3|x|. Then, which one of the following points…20246 April, Shift 1 · Q16
• Let the line L: √2 x+y=α pass through the point of the intersection P (in the first quadrant) of the circle x^2+y^2=3 and the…20241 February, Shift 1 · Q29
• Equations of two diameters of a circle are 2 x-3 y=5 and 3 x-4 y=7. The line joining the points (-22/7,-4) and (-1/7, 3)…202429 January, Shift 1 · Q27
• Consider a circle (x-α)^2+(y-β)^2=50, where α, β>0. If the circle touches the line y+x=0 at the point P, whose distance from the…202427 January, Shift 2 · Q28
• Let the centre of a circle C be (α, β) and its radius r<8. Let 3 x+4 y=24 and 3 x-4 y=32 be two tangents and 4 x+3 y=1 be a…202313 April, Shift 2 · Q13
• Let y=x+2,4 y=3 x+6 and 3 y=4 x+1 be three tangent lines to the circle (x-h)^2+(y-k)^2=r^2. Then h+k is equal to:202330 January, Shift 1 · Q74
• Points P(-3,2), Q(9,10) and R(α, 4) lie on a circle C with PR as its diameter. The tangents to C at the points Q and R intersect…202325 January, Shift 2 · Q85