Question 7

On the following number line value, 'zero' is shown by the point

(a) X
(b) Y
(c) Z
(d) W

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Solution

All the points are equally spaced.

Total number of divisions = 5

Total units = 10 - (-15) = 10 + 15 = 25

One division = 5 units
So, X = -15 + 5 = -10
Y = -10 + 5 = -5
Z = - 5 + 5 = 0
Hence, zero is shown by the point Z.

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Question 20
If y is the reciprocal of rational number x, then the reciprocal of y will be
(a) x
(b) y
(c) $\frac{x}{y}$
(d) $\frac{y}{x}$

\begin{matrix} Elements & K & L & M & N X & 1 & - & - & - Y & 2 & 8 & 2 & - Z & 2 & 8 & 8 & - W & 2 & 8 & 6 & - \end{matrix}

f (x) = 1, f (y) \neq 1, f (z) \neq 2 .

f^{- 1} (1)

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