Position of a Line with Respect to Circle

Q. Find the equation of the straight lines passing through $(-2,-7)$ & havig and intercept of length $3$ between the straight lines $4x+3y=12,4x+3y=3$,

Q.

If the lines $a_{1}x+b_{1}y+c_1=0\text{and}{a}_{2}x+b_{2}y+c_2=0$ cut the coordinates axes in concyclic points, then

1. $a_1{a}_2=b_1{b}_2$

2. $a_1{b}_1=a_2{b}_2$
   

3. $\frac{a_1}{a_2}=\frac{b_1}{b_2}$
   

4. $a_1+a_2=b_1+b_2$
   

Q. The diagonals of a parallelogram $ABCD$ are along the lines $x+3y=4$ and $6x-2y=7.$ Then $ABCD$ must be a

1. rectangle
2. square
3. cyclic quadrilateral
4. rhombus

Q. The radius of the circumcircle of the triangle $PRS$ is?

1. $5$
2. $2\sqrt{3}$
3. $3\sqrt{3}$
4. $3\sqrt{2}$