IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q2

The equation of the circle passing through the point $(-4, 3)$ and touching the lines $x+y=2$ and $x-y=2$ is given by $(x-a)^2+(y-b)^2=r^2$ . Then which of the following is/are not false ?

• (A) a=0
• (B) b=0
• (C) r=5
• (D) $2r^2=(b-2)^2$

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.

In case you are preparing for IIT JEE, you may want to try IIT JEE 1982 Mathematics Archives