Circles Test 1...

The name of the conic represented by $$\sqrt{\dfrac{x}{a}}+\sqrt{\dfrac{y}{b}}=1$$ is

Equation of circle having centre $$(5, 2)$$ and which passes through the point $$(1, -1)$$ is?

Equation of the circle with radius 3 and centre as the point of intersection of the lines $$2x + 3y = 5, 2x - y = 1$$ is 

A square is inscribed in the circle $$x^2 +y^2 - 4x - 6y-5 =0$$ whose sides are parallel to co-ordinate axes then vertices of square are 

If the lines $$3x-4y-7=0$$ and $$2x-3y-5=0$$ are two diameters of a circle of area 154 square units , the equation of the circle is :

The lines $$2x - 3y = 5$$ and $$3x - 4y = 7$$ are two diameters of a circel of area $$154sq.$$ units. Then the equation of circle is

The circles $${x}^{2}+{y}^{2}-4x+4y+4=0$$ and $${x}^{2}+{y}^{2}-4x-4y=0$$

The set of values of p for which the power of a point $$(2,5)$$ is negative with respect to a circle $${ x }^{ 2 }+{ y }^{ 2 }-8x-12y+p=0$$ which neither touches the axes nor cuts them are

If the equation $$ax^{2}+2(a^{2}+ab-16)xy+by^{2}2ax+2by-\sqrt[4]{2}=0$$ represents a circle, the radius of the circle is 

A circle has radius $$3$$ units and its centre lies on the line $$y=x-1$$. if it passes through $$(7,3)$$, its equation