JEE Main 2024 (31 Jan, Shift 2) Maths Q15: Straight Lines

Question

Let $A(a,b)$, $B(3,4)$ and $C(-6,-8)$ respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point $P(2a+3,\,7b+5)$ from the line $2x+3y-4=0$ measured parallel to the line $x-2y-1=0$ is

Accepted Answer

Option 2: $\frac{17\sqrt{5}}{7}$

Answer

$\frac{\sqrt{5}}{17}$

Answer

$\frac{17\sqrt{5}}{7}$

Answer

$\frac{15\sqrt{5}}{7}$

Answer

$\frac{17\sqrt{5}}{6}$

JEE Main 31 January 2024, Shift 2, Maths Q15

Same idea in other shifts