Question

Observe the following list with respect to the line $ax+by+c=0$

List I List II
A)Perpendicular distance from (0,0) $-\frac{c}{a}$

B)X-intercept of the line $-\frac{c}{b}$

C)Y-intercept of the line $\frac{\left|c\right|}{\sqrt{|a^2+b^2|}}$

D) Circumcentre of triangle OAB $(\frac{-c}{2a},\frac{-c}{2b}]$

Then the correct answer is

• A. A - 3, B - 4, C - 2, D - 1
• B. A - 3, B - 1, C - 2, D - 4
• C. A - 3, B - 4, C - 1, D - 2
• D. A - 1, B - 2, C - 3, D - 4

Answer 1

The correct option is B A - 3, B - 1, C - 2, D - 4

$ax+by+c=0$

$\left(A\right)$ Perpendicular distance from (0,0) is $\frac{c}{\sqrt{a^2+b^2}}$ [from not 13]

$\left(B\right)$ x-intercept of line is $x=\frac{-c}{a}$

$(y=0)$

$\left(C\right)$ y-intercept $(x=0)$ of line is $y=\frac{-c}{b}$

$\left(D\right)$ Circumcentre of triangle OAB is $(\frac{-\frac{c}{a}+0}{2},\frac{0-\frac{c}{b}}{2})$

$(\frac{-c}{2b},\frac{-c}{2b})$