Circle questions
490 published questions with worked solutions.
- The parametric equation of a circle is given by x=3 +2, y=3 . Then its
- If A and B are two points on the circle x^2+y^2-4x+6y-3=0 which are farthest and nearest respectively from the point (7,2) then
- A point P( 3,1) moves on the circle x^2+y^2=4 and after covering a quarter of the circle leaves it tangentially. The equation of...
- The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|=0 is
- The line 4y-3x+ =0 touches the circle x^2+y^2-4x-8y-5=0. The value of is
- A circle which touches the axes, and whose centre is at distance 2 2 from the origin, has the equation
- Let the equation of a circle be x^2+y^2=a^2. If h^2+k^2-a^2<0 then the line hx+ky=a^2 is the
- For the equation x^2+y^2+2 x+4=0 which of the following can be true?
- The point of contact of a tangent from the point (1,2) to the circle x^2+y^2=1 has the coordinates
- The equation of a circle C_1 is x^2+y^2=4. The locus of the intersection of orthogonal tangents to the circle is the curve C_2...
- A line parallel to the line x-3y=2 touches the circle x^2+y^2-4x+2y-5=0 at the point
- A point on the line x=3 from which the tangents drawn to the circle x^2+y^2=8 are at right angles is
- Tangents drawn from (2,0) to the circle x^2+y^2=1 touch the circle at A and B. Then
- Let a line through the point P(5,10) cut the line l whose equation is x+2y=5, at Q and the circle C whose equation is x^2+y^2=25,...
- The equation of a circle is x^2+y^2-4x+2y-4=0. With respect to the circle
- The vertex of the parabola y^2 = 8x is at the centre of a circle and the parabola cuts the circle at the ends of its latus...
- Let the equations of a circle and a parabola be x^2 + y^2 - 4x - 6 = 0 and y^2 = 9x respectively. Then
- The ends of a quadrant of a circle have the coordinates (1,3) and (3,1). Then the centre of such a circle is
- If the line ax+by=2 is a normal to the circle x^ 2 +y^ 2 -4x-4y=0 and a tangent to the circle x^ 2 +y^ 2 =1 then
- If x + y = p is a tangent to the circle x^2 + y^2 = 2q(x + y ) then the set of possible values of p is
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