Write the negation of the following simple statements

The number 17 is prime.

Area of a circle is same as the perimeter of the circle.

Write the negation of the following simple statements

The number 17 is prime.

A leap year has 366 days.

Write the negation of the following simple statements

The number 17 is prime.

All similar triangles are congruent.

Translate the following statements into symbolic form

(i) Rahul passed in Hindi and English.

(ii) x and y are even integers.

(iii) 2, 3 and 6 are factors of 12.

(iv) Either x or x + 1 is an odd integer.

(v) A number is either divisible by 2 or 3.

(vi) Either x = 2 or x = 3 is a root of 3x² – x – 10 = 0

(vii) Students can take Hindi or English as an optional paper.

Write down the negation of following compound statements

(i) All rational numbers are real and complex.

(ii) All real numbers are rationals or irrationals.

(iii) x = 2 and x = 3 are roots of the Quadratic equation x² – 5x + 6 = 0.

(iv) A triangle has either 3-sides or 4-sides.

(v) 35 is a prime number or a composite number.

(vi) All prime integers are either even or odd.

(vii) |x| is equal to either x or – x.

(viii) 6 is divisible by 2 and 3.