Advertisements
Advertisements
प्रश्न
Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.
Advertisements
उत्तर
Let p : Two triangles are not congruent
q : Areas of two triangles are not equal.
∴ Symbolic form of the given statementt is P → q.
Converse : q → p
i.e. If areas of two triangles are not equal then U are not cong:ruent.
Inverse : ~p → ~q
i.e. If two triangles are congruent then their a reas are equal.
Contrapositive : ~q → ~ p
i.e. If areas of two triangles are equal then they congruent.
APPEARS IN
संबंधित प्रश्न
Construct the truth table of the following statement pattern.
[(p → q) ∧ q] → p
Construct the truth table of the following statement pattern.
(∼ p → ∼ q) ∧ (∼ q → ∼ p)
Express the following statement in symbolic form.
Mango is a fruit but potato is a vegetable.
Express the following statement in symbolic form.
Milk is white or grass is green.
Write the truth value of the following statement.
The Himalayas are the highest mountains but they are part of India in the North East.
Write the following statement in symbolic form.
If triangle is equilateral then it is equiangular.
Write the following statement in symbolic form.
Milk is white if and only if the sky is not blue.
If p and q are true and r and s are false, find the truth value of the following compound statement.
(p → q) ↔ ~(p ∨ q)
If p and q are true and r and s are false, find the truth value of the following compound statement.
[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]
Assuming the first statement p and second as q. Write the following statement in symbolic form.
If the question paper is not easy then we shall not pass.
Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)
If demand falls, then price does not increase.
Write the negation of the following.
An angle is a right angle if and only if it is of measure 90°.
Rewrite the following statement without using the connective ‘If ... then’.
If 10 − 3 = 7 then 10 × 3 ≠ 30.
Write the negation of the following statement.
∀ n ∈ N, n + 3 > 9.
Write the following compound statements symbolically.
Triangle is equilateral or isosceles
Write the following statements in symbolic form
If Kutab – Minar is in Delhi then Taj - Mahal is in Agra
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Write the following statements in symbolic form.
If Qutub – Minar is in Delhi then Taj-Mahal is in Agra
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
Write the negation of p ↔ q.
