Assertion : If a is twice the tangent of the arithmetic mean of sin –1 x and cos –1 x, be…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Assertion : If a is twice the tangent of the arithmetic mean of sin–1 x and cos–1 x, be is the geometric mean of tan x and cot x, then x2 – ax + b = 0 ⇒ x = 1
Reason : \(\tan \left(\frac{\sin ^{-1} x+\cos ^{-1} x}{2}\right)=1\)
Reason : \(\tan \left(\frac{\sin ^{-1} x+\cos ^{-1} x}{2}\right)=1\)
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(A) If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
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