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**Question :**

Find the zeros of quadratic polynomial for (6x^{2} + 1) / (6x -2) and verify the relationship between the zeros and Co efficient

**Solution :**

**(6x ^{2} + 1) / (6x -2) = 0**

**6x**^{2} + 1 = 0

**6x**^{2} = -1

**x ^{2} = -1/6**

** x = **√(-1/6)

The roots are not real. Hence we cannot verify the relationship.

**Question 2 :**

Let f = {(x, y) | x, y ∈ N and y = 2x} be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?

**Solution :**

Since x and y ∈ N,

x = 1 if x = 2 if x = 3 if x = 4

y = 2 y = 4 y = 6 y = 8

f = {(1, 2) (2, 4) (3, 6) (4, 8)................}

For each values of x, we get different values of y. So the given relation is a function.

Domain is the set of values of x

Domain = {1, 2, 3, 4, ............}

Co domain is the set of value of y. Since y ∈ N

Co domain = {1, 2, 3, 4, .............}

Range means the set of values of y, which are associated with x.

Range = {2, 4, 6, 8, .....}

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