questionrEarly access

Circle

Showing 50 of 219 · 219 total
  1. 101.In the circle given below, let OA=1 unit, OB=13 units and PQ OB.
  2. 102.For the four circles M,N,O and P, the following four equations are given: [M:x^2+y^2=1, N:…
  3. 103.Let S_1: x^2+y^2=9 and S_2:(x-2)^2+y^2=1.
  4. 104.The line 2x-y+1=0 is a tangent to the circle at the point (2,5), and the centre of the cir…
  5. 105.Let the lengths of intercepts on the X-axis and Y-axis made by the circle x^2+y^2+ax+2ay+c…
  6. 106.The locus of the mid-points of the chords of the circle x^2+y^2=25 which are tangent to th…
  7. 107.Consider a circle C which touches the Y-axis at (0,6) and cuts off an intercept 6√5 on the…
  8. 108.Let r_1 and r_2 be the radii of the largest and smallest circles, respectively, which pass…
  9. 109.If the variable line 3x+4y= lies between the two circles (x-1)^2+(y-1)^2=1 and (x-9)^2+(y-…
  10. 110.A circle C touches the line x=2y at the point (2,1) and intersects the circle C_1:x^2+y^2+…
  11. 111.If a line along a chord of the circle 4x^2+4y^2+120x+675=0, passes through the point (-30,…
  12. 112.A circle touches the y-axis at the point (0,4) and passes through the point (2,0).
  13. 113.If a line y=mx+c is a tangent to the circle (x-3)^2+y^2=1 and it is perpendicular to a lin…
  14. 114.Let the tangents drawn from the origin to the circle x^2+y^2-8x-4y+16=0 touch it at the po…
  15. 115.If the length of the chord of the circle x^2+y^2=r^2 (r>0) along the line y-2x=3 is r, the…
  16. 116.The diameter of the circle, whose centre lies on the line x+y=2 in the first quadrant and …
  17. 117.Two circles with equal radii are intersecting at the points (0,1) and (0,-1).
  18. 118.If the area of an equilateral triangle inscribed in the circle x^2+y^2+10x+12y+c=0 is 27√3…
  19. 119.Three circles of radii a,b,c (a<b<c) touch each other externally.
  20. 120.If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersect at two distinct po…
  21. 121.The straight line x+2y=1 meets the coordinate axes at A and B.
  22. 122.If the angle of intersection at a point where the two circles with radii 5cm and 12cm inte…
  23. 123.A circle touching the x-axis at (3,0) and making an intercept of length 8 on the y-axis pa…
  24. 124.If the circles x^2+y^2+5Kx+2y+K=0 and 2(x^2+y^2)+2Kx+3y-1=0, (K R), intersect at the point…
  25. 125.The line x=y touches a circle at the point (1,1).
  26. 126.The locus of the centres of the circles, which touch the circle x^2+y^2=1 externally, also…
  27. 127.The common tangent to the circles x^2+y^2=4 and x^2+y^2+6x+8y-24=0 also passes through the…
  28. 128.The sum of the squares of the lengths of the chords intercepted on the circle x^2+y^2=16 b…
  29. 129.If a circle C, whose radius is 3, touches externally the circle x^2+y^2+2x-4y-4=0 at the p…
  30. 130.A circle passes through the points (2,3) and (4,5).
  31. 131.The tangent to the circle C_1:x^2+y^2-2x-1=0 at the point (2,1) cuts off a chord of length…
  32. 132.A line drawn through the point P(4,7) cuts the circle x^2+y^2=9 at the points A and B.
  33. 133.If a point P has coordinates (0,-2) and Q is any point on the circle x^2+y^2-5x-y+5=0, the…
  34. 134.The radius of a circle, having minimum area, which touches the curve y=4-x^2 and the lines…
  35. 135.If one of the diameters of the circle given by the equation x^2+y^2-4x+6y-12=0, is a chord…
  36. 136.Equation of the tangent to the circle, at the point (1,-1), whose centre is the point of i…
  37. 137.A circle passes through (-2,4) and touches the y-axis at (0,2).
  38. 138.Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0, k R, is a:
  39. 139.If the incentre of an equilateral triangle is (1,1) and the equation of its one side is 3x…
  40. 140.If a circle passing through the point (-1,0) touches the y-axis at (0,2), then the length …
  41. 141.If y+3x=0 is the equation of a chord of the circle x^2+y^2-30x=0, then the equation of the…
  42. 142.Let C be the circle with centre at (1,1) and radius 1.
  43. 143.The equation of the circle described on the chord 3x+y+5=0 of the circle x^2+y^2=16 as dia…
  44. 144.For the two circles x^2+y^2=16 and x^2+y^2-2y=0, there is/are:
  45. 145.If a circle of unit radius is divided into two parts by an arc of another circle subtendin…
  46. 146.The circle passing through (1,-2) and touching the axis of x at (3,0) also passes through …
  47. 147.If the circle x^2+y^2-6x-8y+(25-a^2)=0 touches the axis of x, then a equals:
  48. 148.If a circle C passing through (4,0) touches the circle x^2+y^2+4x-6y-12=0 externally at th…
  49. 149.If each of the lines 5x+8y=13 and 4x-y=3 contains a diameter of the circle x^2+y^2-2(a^2-7…
  50. 150.The length of the diameter of the circle which touches the x-axis at the point (1,0) and p…