Advertisements
Advertisements
प्रश्न
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
Advertisements
उत्तर
q implies p ⇒ If a, b, c are in A.P then 2b = a + c.
APPEARS IN
संबंधित प्रश्न
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
The sun is cold.
Both the diagonals of a rectangle have the same length.
Write the negation of the statement:
q : For every real number x, either x > 1 or x < 1.
Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
There exist real numbers a and b for which a + b = b + a.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
Students can take Hindi or Sanskrit as their third language.
Write the component statement of the compound statement and check whether the compound statement is true or false:
x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Write of the statement in the form "if p, then q".
You can access the website only if you pay a subscription fee.
Write of the statement in the form "if p, then q".
The game is cancelled only if it is raining.
statement are true and false? In each case give a valid reason for saying so
q : The centre of a circle bisects each chord of the circle.
statement are true and false? In each case give a valid reason for saying so
t : \[\sqrt{11}\] is a rational number.
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Rewrite the following statements in the form of conditional statements:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
y + 9 = 7.
Which of the following sentences are statements? Justify
Where is your bag?
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Find the component statements of the following compound statements.
Number 7 is prime and odd.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Find the component statements of the following compound statements.
0 is less than every positive integer and every negative integer.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
|x| is equal to either x or – x.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “101 is not a multiple of 3” is ______.
