Question

Lines $2x+3y+a=0$ and $9x+6y-b=0$ $b<0<a$ cuts the co-ordinate axes in cyclic points, then

• A. $ab>1$
• B. $ab<-1$
• C. $ab\in R$
• D. $ab\in (-\infty ,-1)\cup (1,\infty )$

Answer 1

The correct option is C $ab\in R$

If the line

$2x+3y+a=0$ and $9x+6y-b=0$ cuts coordinate axis in cyclic points

Then $a_1{a}_2=b_1{b}_2$

$18=18$

So $ab$ is not depend on any values

Hence $abϵR$