Question

Q4. If f(n) X2-3+1,find neR such that f(2n) = f(n)​

Answer 1

Answer:

Let x

1

and x

2

be any two elements of N.

∴f(x

1

)=f(x

2

)

⇒2x

1

+3=2x

2

+3

⇒x

1

=x

2

∴f is one-one function.

Now, let y=2x+3⇒x=

2

y−3

It is not onto function, because for y=3,x=0∈

/

N.

Hence, it is one-one into function.

Answer 2

Answer:

Solution: (i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram, rectangle or square. (ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square. (iii) If diagonals are equal, then it is a square or rectangle.