Question

Find the pole of 3x + 4y-45=0 with respect to x²+ y2-6x-8y+5=0​

Answer 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given :

3 x + 4 y - 5 = 0

On comparing with standard equation :

Ax + By + C = 0

Slope of line m = - A / B

m₁ = - 3 / 4

6 x + 8 y - 45 = 0

m₂ = - 6 / 8

m₂ = - 3 / 4

Since slope of both lines are equal.

Therefore they are parallel line.

Now :

Distance between two parallel line :

Putting values here :

Answer 2

Step-by-step explanation:

Use pole= (−g+lk,−f+mk) where k=r2lg+mf−n

r=g2+f2−c−−−−−−−−−√

=9+16−5−−−−−−−−√

=20−−√

k=r2lg+mf−n

=203(−3)+4(−4)+45

=1

pole=(−g+lk,−f+mk)

=(3+3(1),4+4(1))

=(6,8)