First slide

Equation of line in Straight lines

Question

Consider the point A ≡ (0, 1) and B ≡ (2, 0). Let P be a point on the line 4x + 3y + 9 = 0. Coordinates of the point P such that |PA – PB| is maximum, are

Moderate

A

$(- \frac{84}{5}, \frac{13}{5})$
B

$(- \frac{12}{5}, \frac{17}{5})$
C

$(- \frac{6}{5}, \frac{17}{5})$
D

none of these

Solution

We have, |PA – PB | ≤ AB.
Thus, for |PA – PB| to be maximum, point A, B and P must be collinear. The equation of line AB is
x + 2y = 2
Solving it with the given line, we get P = $(- \frac{84}{5}, \frac{13}{5})$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App