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TS EAMCET · Maths · Functions

Let a>1 be a constant. If f:AA and x, yf satisfy ax+ay=a, then A=

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

Answer & Solution

Correct Answer

(C) (-, 1)

Step-by-step Solution

Detailed explanation

Given ax+ay=a ⇒ay=a-ax Taking log with base a to both the sides, we get ⇒logaay=logaa-ax Using logmn=nlogm, ⇒ylogaa=logaa-ax Using logaa=1, ⇒y=logaa-ax The domain of the function A is defined if a-ax>0 & a≠1 ⇒ax<a Again,…