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Question :

Find the zeros of quadratic polynomial for (6x2 + 1) / (6x -2) and verify the relationship between the zeros and Co efficient

Solution :

(6x2 + 1) / (6x -2)  =  0

6x2 + 1  =  0

6x2  =  -1

x2  = -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  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, .....}  Kindly mail your feedback to v4formath@gmail.com After having gone through the stuff given above, we hope that the students would have understood, "Polygons".

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