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9th Class Mathematics Chapter 8 Test9th Class · Mathematics · Punjab (PTB)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
The circumference of a circle with radius r is:
The statement " A straight line can be drawn between any two points" is:
Which of the following expression is often related to inductive reasoning?
A sentence or mathematical expression which may be true of false but not both is called:
The statement
is called:
Contrapositive of
is:
A conditional is regarded as false only when:
Which of the following statement is best to represent the negation of the statement "The stove is burning"?
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
Formulate simple deductive proof's of the following algebraic expression, prove that L.H.S is equal to the R.H.S.
Define tautology.
The sum of the interior angles of a triangle is 180o.
If x and y are positive real numbers and
then
.
Define induction.
Define disjunction.
Differentiate between a mathematical statement and its proof. Give two examples.
What do you mean by implication or conditional.
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
Prove the following statement: If x is an even integer then show that
is even.
Prove that
where a,b,c and d are non-zero real numbers.
Prove that: