Questions tagged 'System of circles'

• If the circles ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ and ${{x}^{2}}+{{y}^{2}}-2gx+{{g}^{2}}-{{b}^{2}}=0$ touch each other externally, then
  Category: circle | Tags: System of circles
• For the given circles ${{x}^{2}}+{{y}^{2}}-6x-2y+1=0$ and ${{x}^{2}}+{{y}^{2}}+2x-8y+13=0$ , which of the following is true
  Category: circle | Tags: System of circles
• A circle passes through (0, 0) and (1, 0) and touches the circle ${{x}^{2}}+{{y}^{2}}=9$ , then the centre of circle is
  Category: circle | Tags: System of circles
• If ${{x}^{2}}+{{y}^{2}}+px+3y-5=0$ and ${{x}^{2}}+{{y}^{2}}+5x$ $+py+7=0$ cut orthogonally, then p is
  Category: circle | Tags: System of circles
• The point of contact of the given circles ${{x}^{2}}+{{y}^{2}}-6x-6y+10=0$ and ${{x}^{2}}+{{y}^{2}}=2$ , is
  Category: circle | Tags: System of circles
• From three non- collinear points we can draw
  Category: circle | Tags: System of circles
• The point (2, 3) is a limiting point of a coaxial system of circles of which ${{x}^{2}}+{{y}^{2}}=9$ is a member. The co-ordinates of the other limiting point is given by
  Category: circle | Tags: System of circles
• The equation of the circle having its centre on the line $x+2y-3=0$ and passing through the points of intersection of the circles ${{x}^{2}}+{{y}^{2}}-2x-4y+1=0$ and ${{x}^{2}}+{{y}^{2}}-4x-2y+4=0$ , is
  Category: circle | Tags: System of circles
• If a circle passes through the point (1, 2) and cuts the circle ${{x}^{2}}+{{y}^{2}}=4$ orthogonally, then the equation of the locus of its centre is
  Category: circle | Tags: System of circles
• Circles ${{x}^{2}}+{{y}^{2}}-2x-4y=0$ and ${{x}^{2}}+{{y}^{2}}-8y-4=0$
  Category: circle | Tags: System of circles

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