Question

7. State which of the following are one-one and onto functions
i) f:RR defined by f(x) = 2x + 1. ii) f: R {x/x 20} defined by f(x)=x2.
x+2
iii) : R-{2}->R-{1}defined by S(x)=
geo
x-2​

Answer 1

Step-by-step explanation:

Length: Breadth: Height::6:3:1

Let the height of the parallelopiped be x.

Thus Length and Breadth are6x and 3x.

Surface area of parallelopiped is 2$$(LB+LH+HB)=2(6x×3x+6x×x+3x×x)=54x^2.$$

Surface area of cube is 6h

2

Thus 6h

2

=54x

2

.

h

2

=9x

2

h=3x

Now ratio of volume

volume of parallelopiped

volume of cube

18x

3

27x

3

=

2

3

.