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TS EAMCET · Maths · Straight Lines

O0,0, A-3,-1 and B-1,-3 are the vertices of a ΔOAB. P is a point on the perpendicular AD drawn from A on OB such that APPD=34. Then the equation of the line L parallel to OB and passing through P, is

  1. A 3x-y+3=0
  2. B 21x-7y+32=0
  3. C 15x-5y+32=0
  4. D 3x-y+35=0
Verified Solution

Answer & Solution

Correct Answer

(B) 21x-7y+32=0

Step-by-step Solution

Detailed explanation

We have AD⊥OB, APPD=34 Equation of line OB, y=3x Equation of line AD, y+1=-13(x+3) ⇒y=-x3-2 Intersection point of AD and OB is D D-35,-95 Now, A(-3, -1), D-35,-95, AP:PD = 3:4 So, using section formula…