questionrEarly access

Circle

Showing 50 of 219 · 219 total
  1. 151.The two circles x^2+y^2=ax and x^2+y^2=c^2 (c>0) touch each other if:
  2. 152.The circle x^2+y^2=4x+8y+5 intersects the line 3x-4y=m at two distinct points if:
  3. 153.If P and Q are the points of intersection of the circles x^2+y^2+3x+7y+2p-5=0 and x^2+y^2+…
  4. 154.The point diametrically opposite to the point P(1,0) on the circle x^2+y^2+2x+4y-3=0 is:
  5. 155.Consider a family of circles which pass through the point (-1,1) and are tangent to the x-…
  6. 156.Let C be the circle with centre (0,0) and radius 3 units.
  7. 157.If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of area 49 square units…
  8. 158.If a circle passes through the point (a,b) and cuts the circle x^2+y^2=p^2 orthogonally, t…
  9. 159.If the circles x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect in two distinct points …
  10. 160.A circle touches the x-axis and also touches the circle with centre at (0,3) and radius 2.
  11. 161.If a circle passes through the point (a,b) and cuts the circle x^2+y^2=4 orthogonally, the…
  12. 162.A variable circle passes through the fixed point A(p,q) and touches the x-axis.
  13. 163.If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10, t…
  14. 164.The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB.
  15. 165.If the two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct poi…
  16. 166.The lines 2x-3y=5 and 3x-4y=7 are diameters of a circle having area 154 sq.
  17. 167.If the chord y=mx+1 of the circle x^2+y^2=1 subtends an angle of measure 45^ at the major …
  18. 168.The centres of a set of circles, each of radius 3, lie on the circle x^2+y^2=25.
  19. 169.The centre of the circle passing through (0,0) and (1,0) and touching the circle x^2+y^2=9…
  20. 170.The equation of a circle with origin as a center and passing through an equilateral triang…
  21. 171.If the pair of lines [ax^2 + 2( a + b )xy + by^2 = 0] lie along diameters of a circle and …
  22. 172.The differential equation of the family of circles with fixed radius 5 units and centre on…
  23. 173.Three distinct points A, B and C are given in the 2 -dimensional coordinates plane such th…
  24. 174.The two circles x2 + y2 = ax, and x2 + y2 = c2 (c > 0) touch each other if :
  25. 175.The number of common tangents to the circles x^2 + y^2 - 4x - 6x - 12 = 0 and x^2 + y^2 + …
  26. 176.The centres of those circles which touch the circle, x^2 + y^2 - 8x - 8y - 4 = 0, external…
  27. 177.The radius of a circle, having minimum area, which touches the curve y = 4 -- x2 and the l…
  28. 178.If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of t…
  29. 179.The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is…
  30. 180.A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B.
  31. 181.If the tangent at (1, 7) to the curve x2 = y - 6 touches the circle x2 + y2 + 16x + 12y + …
  32. 182.If the area of an equilateral triangle inscribed in the circle x2 + y2 + 10x + 12y + c = 0…
  33. 183.If a circle C passing through the point (4, 0) touches the circle x2 + y2 + 4x -- 6y = 12 …
  34. 184.If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm in…
  35. 185.If a circle of radius R passes through the origin O and intersects the coordinates axes at…
  36. 186.Let C1 and C2 be the centres of the circles x2 + y2 -- 2x -- 2y -- 2 = 0 and x2 + y2 -- 6x…
  37. 187.If a variable line, 3x + 4y -- [ ] = 0 is such that the two circles x2 + y2 -- 2x -- 2y + …
  38. 188.The sum of the squares of the lengths of the chords intercepted on the circle, x2 + y2 = 1…
  39. 189.If a tangent to the circle x2 + y2 = 1 intersects the coordinate axes at distinct points P…
  40. 190.The circle passing through the intersection of the circles, x2 + y2 -- 6x = 0 and x2 + y2 …
  41. 191.If the length of the chord of the circle, x2 + y2 = r2 (r > 0) along the line, y -- 2x = 3…
  42. 192.Let the tangent to the circle x2 + y2 = 25 at the point R(3, 4) meet x-axis and y-axis at …
  43. 193.Two tangents are drawn from a point P to the circle x2 + y2 - 2x - 4y + 4 = 0, such that t…
  44. 194.Choose the incorrect statement about the two circles whose equations are given below : x2 …
  45. 195.Let S1 : x2 + y2 = 9 and S2 : (x - 2)2 + y2 = 1.
  46. 196.Choose the correct statement about two circles whose equations are given below : x2 + y2 -…
  47. 197.For the four circles M, N, O and P, following four equations are given : Circle M : x2 + y…
  48. 198.Let the circle S : 36x2 + 36y2 - 108x + 120y + C = 0 be such that it neither intersects no…
  49. 199.If a line along a chord of the circle 4x2 + 4y2 + 120x + 675 = 0, passes through the point…
  50. 200.Let Z be the set of all integers, [A = (x,y) Z Z:(x - 2)^2 + y^2 4 ] [B = (x,y) Z Z:x^2 + …