Equation of Circle with (h,k) as Center

Q. The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is

1. $(x-5{)}^2+(y+5{)}^2=25$
2. $(x+4{)}^2+(y+4{)}^2=25$
3. $(x-6{)}^2+(y+6{)}^2=25$
4. $(x+5{)}^2+(y+5{)}^2=25$

Q.

The circle $x^2+y^2+4x-4y+4=0$ touches

1. None of these

2. x-axis

3. x-axis and y-axis

4. y-axis

Q. The locus of the centre of circle which touches $(y-1{)}^2+x^2=1$ externally and also touches x-axis, is

1. $\{x^2=4y,y\ge 0\}\cup \left\{\right(0,y),y<0\}$
2. $x^2=y$
3. $y=4x^2$
4. $y^2=4x\cup (0,y),yϵR$

Q.

Equation of circle touching the line |x-2|+|y-3|=4 will be

1. 

2. 

3. 

4. 

Q. The lines 2x - 3y = 5 and 3x - 4y = 7 are the diameters of a circle of area 154 square units. The equation of the circle is

1. $x^2+y^2+2x-2y=62$
2. $x^2+y^2-2x+2y=47$
3. $x^2+y^2+2x-2y=47$
4. $x^2+y^2-2x+2y=62$

Q. Find the centre and radius of the circle which is inscribed in the triangle formed by the straight lines whose equations are
$3x+4y+2=0$, $3x-4y+12=0$, and $4x-3y=0$.