Objective case
Underline the nouns and mention the kind of each :
Nominative case
1. The Sun rises in the east.
2. David broke the pen.
3. The policman arrested the thief.
4. He has lost all his money.
5. My father bought a car.
6. India won the match.
7. The teacher solved the sum.
8. Harry gave Lisa some books.
9. The principal gave us prizes.
10. The dog chased its tail.
11. My pen is on the table.
12. Her childhood was spent in misery.
Answers
Answer:
If x^2=y^2, x is not always equal to y so that statement would be considered false.
However, the statement “if x=y, then x^2=y^2” would be true.
Why? For this question, I will assign x^2=81 for some clean numbers.
x^2=81
x^2=y^2
y^2=81.
Ok fair enough, right? Let’s take the square roots of both x^2 and y^2
x=+/-3
y=+/-3
In this case, x and y could both be 3, they could both be -3, or one is 3 and the other is -3. In the case that x and y are both 3 or -3, then the x=y part is true. However, if x = -3 and y = 3 (or vice versa), x is not equal to y.
In that statement, it is not guaranteed that if x^2=y^2 that x will always equal y. So if we were to ask “is the statement ‘if x^2=y^2, then x=y’ true or false?” we would answer false because if we said true, we would have to say yes every case is true. A “not necessarily” or a “not always” will automatically say false.