Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”

Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.

Identify the quantifiers and write the negation of the following statements:
For all even integers x, x² is also even.

Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.

Check the validity of the statements:
r: 100 is a multiple of 4 and 5.

Check the validity of the statements:
s: 60 is a multiple of 3 or 5.

Which of the following is a statement?

The negation of the statement “It is raining and weather is cold.” is ______.

Which of the following sentences are statements? Justify

A triangle has three sides.

Which of the following sentences are statements? Justify

0 is a complex number.

Which of the following sentences are statements? Justify

Sky is red.

Which of the following sentences are statements? Justify

Every set is an infinite set.

Which of the following sentences are statements? Justify

15 + 8 > 23

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

Every square is a rectangle.

Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.

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.