The foot of the perpendicular from (2,3) to x+y+4=0 is​

Answers (1)

We jnow a line perpendicular to a given line
ax−by+c=0 is bx+ay+k=0 
∴ The equation of line perpendicular to given line
x+y+4=0 ...(i)
is −x+y+λ=0..(ii)
Since, this equation passes through (2, 3).
therefore (2, 3) satisfies the equation of line
∴−2+3+λ=0
⇒λ=−1
∴∴ From Eq. (ii),
−x+y−1=0
⇒y=x+1
And from eq. (i),
x+x+1+4=0
⇒2x=-5
⇒x=-2.5
Hence, coordinates of foot of perpendicular from (2, 3) to given line is (-2.5, -1.5)

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions