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Question

Mark tick against the correct answer in each of the following:
$$(1/2)^{-2} +(1/3)^{-2} + (1/4)^{-2}=$$?

A
$$(61/144)$$
B
$$(144/61)$$
C
none of these
D
$$29$$
Solution
Verified by Toppr

Correct option is B. $$29$$
We know that,
$$\Rightarrow (1/2)^{-2}=(2/1)^{2}\quad [\because (a/b)^{-n}=(b/a)^n]$$
also, $$\Rightarrow (1/3)^{-2}=(3/1)^{2}\quad [\because (a/b)^{-n}=(b/a)^n]$$
and $$\Rightarrow (1/4)^{-2}=(4/1)^{2}\quad [\because (a/b)^{-n}=(b/a)^n]$$
Now add,
$$=(2)^2 +(3)^2+(4)^2$$
$$=4+9+16$$
$$=29$$

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