Find the perpendicular distance of the point $(2, 3)$ from the line $4x + 3y - 10 = 0$.

Find the perpendicular distance of the point (2, 3 – Class 11 Mathematics And Statistics

Exercises · Q19

(2, 3)

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★est

24% · 5/21 Questions

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Apply $d = \dfrac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}$ with $a = 4$ , $b = 3$ , $c = -10$ and $(x_1, y_1) = (2, 3)$ :

$d = \dfrac{|4(2) + 3(3) - 10|}{\sqrt{4^2 + 3^2}} = \dfrac{|8 + 9 - 10|}{\sqrt{16 + 9}} = \dfrac{|7|}{\sqrt{25}} = \dfrac{7}{5}$ …