# Q11. Fill in the blanks.(i) Zero has ________ reciprocal.(ii) The numbers ________ and ________ are their own reciprocals.(iii) The reciprocal of – 5 is ________.(iv) Reciprocal of  $\frac{1}{x}$ , where x ≠ 0 is ________.(v) The product of two rational numbers is always a _______.(vi) The reciprocal of a positive rational number is ________.

(i) Zero has no reciprocal as it's reciprocal is not defined.

(ii) The numbers 1 and -1 are their own reciprocals as  $\frac{1}{1} = 1$ and  $\frac{1}{-1} = -1$

(iii) $\frac{1}{-5}$.   We know that reciprocal of A is  $\frac{1}{A}$.

(iv)  Since    $\frac{1}{\frac{1}{x}} = x$.

(v) rational number. We know that if p and q are 2 rational numbers then pq is also a rational number.

(vi) Positive. Since reciprocal of A is  $\frac{1}{A}$ , now if A is positive then reciprocal is also positive.

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