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JEE Main 20254 AprilMorning Shift

Exam: JEE Main
Year: 2025
Date: 4 April
Shift: Morning Shift
Subject: Mathematics
Chapter: Straight Lines

JEE Main 2025 · 4 April · Morning Shift · Mathematics · Straight Lines

Let the three sides of a triangle are on the lines 4 x-7 y+10=0,...

Let the three sides of a triangle are on the lines

4 x-7 y+10=0, x+y=5

and

7 x+4 y=15

. Then the distance of its orthocentre from the orthocentre of the triangle formed by the lines

x=0, y=0

and

x+y=1

is

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

Options

A5
B $\sqrt{5}$
C $\sqrt{20}$
D20

Correct answer

B. $\sqrt{5}$

Step-by-step solution

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

\begin{gathered}<br/>7 x+4 y=15 \\ 7 x+7 y+10=0<br/>\end{gathered}

Let the three sides of a triangle are on the lines 4 x-7 y+10=0, x+y=5 and 7 x+4 y=15 . Then the distance of its

distance between P and

\mathrm{B}=\sqrt{5}

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