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TS EAMCET · Maths · Straight Lines

A straight line passing through origin O intersects the lines 10x-8y-10=0 and x4-y5+1=0 at right angles and at the points P and Q respectively. Then the ratio in which O divides the line segment PQ is

  1. A 1 : 2
  2. B 1 : 4
  3. C 1 : 1
  4. D 3 : 4
Verified Solution

Answer & Solution

Correct Answer

(B) 1 : 4

Step-by-step Solution

Detailed explanation

Let, a straight line L1 passing through origin O intersects the lines 10x-8y-10=0   ⇒ 5x-4y-5=0  ....L2 and x4-y5+1=0 or 5x-4y+20=0  ...L3 at right angles and at the points P and Q respectively. We can see L2 and L3 are…