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TS EAMCET · Maths · Properties of Triangles

In a triangle ABC, if cotA2cotB2=K, then all the possible values of K lies in

  1. A (0, 1]
  2. B [1, )
  3. C (1, )
  4. D (0, 1)
Verified Solution

Answer & Solution

Correct Answer

(C) (1, )

Step-by-step Solution

Detailed explanation

cotA2cotB2=K ⇒rr-ar-br-c.rr-br-ar-c=K ⇒rr-c=K ⇐r-c+cr-c=K ⇒1+cr-c=K                .....i Let p=cr-c=2ca+b-c a+b>c⇒p>0 ∙ If angle C approaches 180°,…