Circle questions
490 published questions with worked solutions.
- The sides of a rectangle are given by the equations x = -2, x = 4, y = -2 and y = 5 Then the equation of the circle, whose centre...
- Two tangents to the circle x^2+y^2=4 at the points A and B meet at the point P(-4, 0). Then the area of the quadrilateral PAOB, O...
- The equation of the circle, concentric with the circle x^2 + y^2 - 6x - 4y - 12 = 0 and touching the X-axis is
- The equation of the circle, the end points of whose diameter are the centres of the circles x^2+y^2+6x-14y+5=0 and...
- The parametric equations of the circle x^2 + y^2 + 2x - 4y - 4 = 0 are
- If the circles x^2+y^2=9 and x^2+y^2+2ax+2y+1=0 touch each other internally, then the value of a^3 is
- If the sides of a rectangle are given by the equations x=-2, x=6, y=-2, y=5, then the equation of the circle, drawn on the...
- The abscissae of the two points A and B are the roots of the equation x^2+2ax-b^2=0 and their ordinates are roots of the equation...
- The equation of circle passing through the points (1, -2) and (4, -3) and whose centre lies on the line 3x + 2y = 7 is
- If the equation 3x^2+(3-p)xy+qy^2-2px=8pq represents a circle, then the area (in sq. units) of this circle is
- The equation of a circle which passes through the points (2,3) and (4,5) and whose center lies on the straight line y - 4x + 3 =...
- If a circle passes through points (4,0) and (0,2) and its center lies on Y-axis. If the radius of the circle is r, then the value...
- The parametric equations of the circle x^ 2 +y^ 2 -ax-by=0 are
- The equation of the tangent to the circle, given by x=5 , y=5 at the point = 3 on it, is
- If the lines 3x-4y-7=0 and 2x-3y-5=0 pass through diameters of a circle of area 49 square units, then the equation of the circle...
- The parametric equations of the curve x^ 2 +y^ 2 -ax-by=0 are
- If is the perpendicular distance of a point P on the circle x^2+y^2+2x+2y-3=0, from the line 2x + y + 13 = 0, then maximum...
- The equation of the circle concentric with circle x^2+y^2-6x+7=0 and which touches the line x+y+3=0 is
- If a circle with center (-1, 1) touches the line x + 2y + 4 = 0 then the co-ordinates of the point of contact are
- The abscissae of two points A and B are the roots of the equation x^2+2ax-b^2=0 and their ordinates are roots of the equation...
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