Maths-
General
Easy
Question
![e squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARCAYAAADQWvz5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAKVJREFUeNpjYCAN/IfiX0B8FIhVGCgETECcBcTnGKgEflDDEHsgPkipIZLQMFKixBA1IN4CNYwil2wDYj5CCsWBeA00EB9CwwEZgAzRIGQIyJZLQOwH5WsB8RUc6QgZY4AuIK5EEwOFBRupCewDEIuiiX2C0kQDcxzOPkpqbIDCZRU1UqklEJ+kVr65BsQF0DARhAa8LTkGgZL7YSD+AzU0mWEgAAAoyiWYZ6Ex8AAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bWk+ZTwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+JeSUYAAAAABJRU5ErkJggg==)
![e cubed](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARCAYAAADQWvz5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAKpJREFUeNpjYCAN/IfiX0B8AYjdGKgANID4ITUMYgLid5QaIgzEU4A4kRJDYOEUSw1v8QFxKxCnMVAJ/MAlIQ7Ea6AKQDFij8cQWyA+g8u5l4DYD8rXAuIrOMIHZNEOIJbHZlAXEFeiiW0BYjZS08QHIBZFE/sEpYkG5kjORsZHSQ19ULisokY0WgLxSWqliWtAXAANE0FowNuSY5ASEB8G4j9QQ5MZBgIAANwxJg0DeBbEAAAAYHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT5lPC9taT48bW4+MzwvbW4+PC9tc3VwPjwvbWF0aD5Ag68mAAAAAElFTkSuQmCC)
![e to the power of 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARCAYAAADQWvz5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAJhJREFUeNpjYCAfRAPxfwYKgQ4QH6XUIEEgPg7E0pQatAaILaFssg0qB+JYJD7ZBv3HgSkGOA0Rh4bBDyB+CMT25BjEB8SXgNgPytcC4ivkGNQFxJVoYluAmI0UvzIB8QcgFkUT+wSliQbmOGLjKKmhDwqXVdSIRlBKPclAJXANiAugYSIIDXhbcgxSAuLDQPwHamgyw0AAAPp0J8baDggoAAAAYHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT5lPC9taT48bW4+NDwvbW4+PC9tc3VwPjwvbWF0aD6hxwm1AAAAAElFTkSuQmCC)
- e
Hint:
To solve the given function, we will use the formula
after using the formula we will solve the function till that stage when putting the value of x will not make the function undefined, later we will put the value of x and get the required answer.
The correct answer is: ![e cubed](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARCAYAAADQWvz5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAKpJREFUeNpjYCAN/IfiX0B8AYjdGKgANID4ITUMYgLid5QaIgzEU4A4kRJDYOEUSw1v8QFxKxCnMVAJ/MAlIQ7Ea6AKQDFij8cQWyA+g8u5l4DYD8rXAuIrOMIHZNEOIJbHZlAXEFeiiW0BYjZS08QHIBZFE/sEpYkG5kjORsZHSQ19ULisokY0WgLxSWqliWtAXAANE0FowNuSY5ASEB8G4j9QQ5MZBgIAANwxJg0DeBbEAAAAYHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT5lPC9taT48bW4+MzwvbW4+PC9tc3VwPjwvbWF0aD5Ag68mAAAAAElFTkSuQmCC)
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In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,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)
In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Maths-General