Theorem

Q.

Prove that two distinct lines cannot have more than one point in common.

Q.

Question 2
For some integer q. every odd integer is of the form

A) q
B) q + 1
C) 2q
D) 2q + 1

Q.

$△\mathrm{ABC}$ is an isosceles triangle right angled at $\mathrm{C}$. Prove that ${\mathrm{AB}}^2=2{\mathrm{AC}}^2.$

Q.

A lemma is a proven statement used for proving another statement.

1. True
2. False

Q. 'Theorems are proved based on axioms and previously proven theorems.

1. True
2. False

Q. What can be defined as a “specific prediction about what will happen in the particular conditions forming the study”?

1. Deductive reasoning
2. Inductive reasoning
3. Theorem
4. Hypothesis

Q. Is there any calculus method to prove a function one one or onto give some other methods

Q. Which of the following needs a proof?

1. Theorem
2. Axiom
3. Definition
4. Postulate

Q.

State whether the statement is true or false.
An axiom can be used to prove theorems.

1. True

2. False

Q. Cersei and Arya were asked by their teacher Nikhil to apply Euclid’s division lemma, to 37 and 7. Cersei and Arya, both being intelligent were quickly ready with their answers.
Cersei: $37=7\times 5+2$
Arya : $37=7\times 4+9$

1. Cersei was wrong, Arya was right.
2. Both Cersei and Arya were right.
3. Both Cersei and Arya were wrong.
4. Cersei was right, Arya was wrong

Q.

'An axiom can be used to prove theorems.' Is the statement true or false?

1. True

2. False

Q. Two distinct lines cannot have more than one point in common.

1. True
2. False

Q.

How Can I Prove Fermat Littles Theorem

Q. A lemma is a proven statement used for proving another statement.

1. True
2. False

Q.

1/√a=√a it is a formula taught to us but why does this happens

Maths check 1

Q. For a right-angled triangle with sides $a$ and $b$ and hypotenuse $c$, $a^2+b^2=c^2$ is a _____.

1. Theorem
2. Conjecture
3. Axiom
4. None of these

Q. If $a\equiv b\left(modm\right)$ and $x$ is an integer, then which of the following is incorrect?

1. $(a+x)\equiv (b+x)\left(modm\right)$
2. $(a÷x)\equiv (b÷x)\left(modm\right)$
3. $(a-x)\equiv (b-x)\left(modm\right)$
4. $ax\equiv bx\left(modm\right)$

Q. In Euclid's division Lemma for positive integers $a$ and $b$, the unique integers $q$ and $r$ are obtained such that $a=bq+r$ is

1. $0<r\le b$
2. $0<r<b$
3. $0\le r<b$
4. $0\le r\le b$

Q. A proof is required for :

1. Postulate
2. Theorem
3. Axiom
4. Definition

Q.

Use Euclid's division algorithm to find the HCF of: 135 and 225 [2 MARKS]

Q. Two lines which are both parallel to the same line, are parallel to each other.

1. True
2. False

Q. The mathematical statements that are proved are called axioms.

1. True
2. False
3. None of the above
4. cannot be determined

Q. Cersei and Arya were asked by their teacher Nikhil to apply Euclid’s division lemma, to 37 and 7. Cersei and Arya, both being intelligent were quickly ready with their answers.
$Cersei:37=7\times 5+2$
$Arya:37=7\times 4+9$

1. Both Cersei and Arya were wrong.
2. Cersei was right and Arya was wrong
3. Both Cersei and Arya were right.
4. Cersei was wrong and Arya was right.

Q.

How is a hypothesis formed?

Q. Two distinct lines have ____ intersecting point(s).