Circles Test 2...

The equation of the circle of a radius $$5$$ in the first quadrant which touches the x-axis and the line $$3x-4y=0$$ is 

Equation of circle touching $$x=0, y=0$$ and $$x=4$$ is 

The circle  $$x ^ { 2 } + y ^ { 2 } = 4 x + 8 y + 5$$  intersects the line  $$3 x - 4 y = m$$  at two distinct points if :-

Find the equation of a circle whose center is (2,-1) and radius is 3 

The equation of the circle passing through $$(4, 1)$$ and $$(6, 5)$$ and having center of the line 

The equation of the tangent to the curve y = 2sinx + sin2x at $$x=\frac { \pi  }{ 3 } $$ on it is 

$${ \cos }^{ 4 }\dfrac { \pi  }{ 8 } +{ \cos }^{ 4 }\dfrac { 3\pi  }{ 8 } +{ \cos }^{ 4 }\dfrac { 5\pi  }{ 8 } +{ \cos }^{ 4 }\dfrac { 7\pi  }{ 8 } =$$

The line $$y=mx+c$$ cut the circle $${x}^{2}+{y}^{2}={a}^{2}$$ in the distinct point $$A$$ and $$B$$. Equation of the circle having minimum radius that an be drawn through the points $$A$$ and $$B$$ is

Three sides of a triangle have the equations $$L_{r} = y - m_r x - C_{r} = 0; r = 1, 2, 3$$. Then $$\lambda L_{2}L_{3} + \mu L_{3}L_{1} + \gamma L_{1}L_{2} = 0$$. where $$\lambda \neq 0, \mu \neq 0, \gamma \neq 0$$, is the equation of circumcircle of triangle if

The equation $$14x^{2}-4xy+11y^{2}-44x-58y+71=0$$ represents