Q4 of 69 Page 261

Write the negation of the following simple statements

The number 17 is prime.


All similar triangles are congruent.

Negation of statement p is "not p." The negation of p is symbolized by "~p." The truth value of ~p is the opposite of the truth value of p.

The negation of the statement is “All similar triangle are not congruent”.


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4

Write the negation of the following simple statements

The number 17 is prime.


Cow has four legs.

 4

Write the negation of the following simple statements

The number 17 is prime.


A leap year has 366 days.

 4

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.

 5

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.