Saved Bookmarks
| 1. |
The number of integral triplets (a, b, c) such thet `a+b cos 2x+c sin^(2)x=0` for all x, is |
|
Answer» Correct Answer - D We have, `a+bcos2x+c sin^(2)x=0` for all x `impliesa+b+(c-2b)sin^(2)x=0` for all x `impliesa+b=0and c-2b=0` `impliesa=-bandc =2b` Thus, the triplets are `(-b,b,2b), where b in R.` Hence, there are infinitely many triplets. |
|