Question
Negate the following statements:
There exists a number which is equal to its square.
There exists a number which is equal to its square.
✓
Answer
Negation of the given statement:
There exists a number which is not equal to its square.
There exists a number which is not equal to its square.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find: $C \cap D$
→Write down the negation of following compound statement:
|x| is equal to either x or -x.
|x| is equal to either x or -x.
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow3}\frac{\text{x}^2-9}{\text{x}+2}$
→$\lim\limits_{\text{x}\rightarrow3}\frac{\text{x}^2-9}{\text{x}+2}$
If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find: $A \cap D$
→Find the derivative of f from the first principle, where f is given by $f(x)=x+\frac{1}{x}$
→Write the number of intregals solution of $\frac{\text{x}+2}{\text{x}^2+1}>\frac{1}{2}$
→The figure shows a relationship between the sets P and Q. Write this relation in the set-builder form. What is its domain and range?
If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A - C) × (B - C).
If roots $\alpha,\beta$ of the equation $x^2− px + 16 = 0$ satisfy the relation $\alpha^2+\beta^2= 9,$ then write the value $p.$
→Is the set of lines which are parallel to the x-axis finite or infinite?