Define and Give one example of each :
a) Parallel lines
b) Intersecting lines
c) Perpendicular line
d) Prime Number
e) Twin Prime
f) Even Number

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Solution

(a) Parallel lines are two lines that are always the same distance apart and never touch each other.
Ex : $3 x + 2 y = 10, 3 x + 2 y = 4$
(b) Intersecting lines are two lines that meet exactly at one point
Ex : $3 x + 2 y = 10, 4 x + 5 y = 6$
(c) Perpendicular lines are two lines that intersect each other at right angle.
Ex : $3 x - 2 y = 10, 2 x + 3 y = - 5$
(d) The numbers which are divisible only by $144 or itself are called prime numbers.
Ex : $3, 7, 11, . . . .$
(e) Twin prime numbers are those which have difference of $2$
Ex : $11, 13$
(f) A prime number which is also an even number is called even prime number.
Ex : $2$ .

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Similar questions

Which of the following are examples of the null set

(i) Set of odd natural numbers divisible by 2

(ii) Set of even prime numbers

(iii) {x:x is a natural numbers, x < 5 and x > 7 }

(iv) {y:y is a point common to any two parallel lines}

Which of the following are examples of the null set?

(i) Set of odd natural numbers divisible by 2.

(ii) Set of even prime numbers.

(iii) {x : x is a natural number, x < 5 and x > 7}

(iv) { y : y is a point common to any two parallel lines}

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