Questions tagged 'Equations of circle'

• A square is inscribed in the circle ${{x}^{2}}+{{y}^{2}}-2x+4y+3=0$ , whose sides are parallel to the coordinate axes. One vertex of the square is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• If the line $x+2by+7=0$ is a diameter of the circle ${{x}^{2}}+{{y}^{2}}-6x+2y=0$ , then $b=$
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• For all values of $\theta$ , the locus of the point of intersection of the lines $x\cos \theta +y\sin \theta =a$ and $x\sin \theta -y\cos \theta =b$ is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• If a circle whose centre is (1, –3) touches the line $3x-4y-5=0$ , then the radius of the circle is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• If the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ touches x-axis, then
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• The equation of the circle which touches both the axes and whose radius is a, is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• The area of the circle whose centre is at (1, 2) and which passes through the point (4, 6) is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• The centres of the circles ${{x}^{2}}+{{y}^{2}}=1$ , ${{x}^{2}}+{{y}^{2}}+6x-2y=1$ and ${{x}^{2}}+{{y}^{2}}-12x+4y=1$ are
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• If a circle passes through the point (0, 0), (a, 0), (0, b), then its centre is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle
• The equation of the circle whose centre is (1, –3) and which touches the line $2x-y-4=0$ is
  Category: circle | Tags: Equations of circle, Geometrical problems regarding circle

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