Question

Given the family of lines, a (3x + 4y+6) +b(x+y+2)=0.
The line of the family situated at the greatest distance iron
the point P (2, 3) has equation -
(A) 4x + 3y +8=0
(B) 5x + 3y +10=0
(C) 15x + 8y +30=0 (D) None of these​

Answer 1

Answer:

(3x+4y+6)+b(x+y+2)=0

3x+4y+6+bx+by+b2=0

3x+4y+bx+by+b2=0-6

3x+bx+4y+by+b2=-6

3bxx+4bbyy=-6

3bbbxx+4yy=-6