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AP EAMCET · Maths · Pair of Lines

The acute angle between lines 6x2+11xy-10y2=0 is

  1. A tan-13612
  2. B tan-13614
  3. C tan-13612
  4. D tan-13614
Verified Solution

Answer & Solution

Correct Answer

(B) tan-13614

Step-by-step Solution

Detailed explanation

Acute angle between pair of straight lines ax2+2hxy+by2=0 is given by tanθ=2h2-aba+b By comparing the given equation of lines with ax2+2hxy+by2=0 we get a=6,b=-10,h=112 Then, tanθ=21214+60-4=361-4 ⇒θ=tan-13614