Given the family of lines, a (3x + 4y + 6) + b (x + y + 2) = 0 . The line of the family situated at the greatest distance from the point P (2, 3) has equation :
(A) 4x + 3y + 8 = 0
(B) 5x + 3y + 10 = 0
(C) 15x + 8y + 30 = 0
(D) none
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Given the family of lines, a (3x + 4y + 6) + b (x + y + 2) = 0 . The line of the family situated at the greatest distance from the point P (2, 3) has equation :
(A) 4x + 3y + 8 = 0
(B) 5x + 3y + 10 = 0
(C) 15x + 8y + 30 = 0
(D) none
Given the family of lines, a (3x + 4y + 6) + b (x + y + 2) = 0 . The line of the family situated at the greatest distance from the point P (2, 3) has equation :
(A) 4x + 3y + 8 = 0
(B) 5x + 3y + 10 = 0
(C) 15x + 8y + 30 = 0
(D) none
(A) 4x + 3y + 8 = 0
point of intersection is A (- 2, 0) . The required line will be one which passes through (- 2, 0) and is perpendicular to the line joining (- 2, 0) and (2, 3) or taking (2, 3) as centre and radius equal to PA draw a circle, the required line will be a tangent to the circle at (- 2, 0)