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AP EAMCET · Maths · Straight Lines

If ad-bc0, then the area (in sq. units) of the parallelogram formed by the lines ax+by+2=0, ax+by+5=0, cx+dy+3=0 and cx+dy+7=0 is

  1. A 1|ad-bc|
  2. B 5|ad-bc|
  3. C 7|ad-bc|
  4. D 12a2+b2c2+d2
Verified Solution

Answer & Solution

Correct Answer

(D) 12a2+b2c2+d2

Step-by-step Solution

Detailed explanation

Given: ax+by+2=0   ...iax+by+5=0   ....ii→ Parallel lines cx+dy+3=0   ....iiicx+dy+7=0   ....iv→ Parallel lines Opposite sides are parallel in parallelogram. Let d1 be the distance…