Straight Line and Pair of Straight Lines 1 Question 10

10. If a straight line passing through the point P(3,4) is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is

(2019 Main, 12 Jan II)

(a) xy+7=0

(b) 4x3y+24=0

(c) 3x4y+25=0

(d) 4x+3y=0

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Solution:

  1. Let the equation of required line having intercepts a and b with the axes is

Now, according to given information,

P is the mid-point of AB

P=a2,b2=(3,4)

[given]

(a,b)=(6,8)

On putting the value of a and b in Eq. (i), we get

x6+y8=18x6y=484x3y+24=0



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