Find the Range $p = \frac{2q+1}{q-5}$ Option 1) $p \neq 2$ Option 2) $q \neq 5$ Option 3) $p \neq 5$ Option 4) None of these.

As learnt in concept

Range -

The range of the relation R is the set of all second elements of the ordered pairs in a relation R.

- wherein

eg. R={(a,b),(c,d)}. Then Range is {b,d}

$p= \frac{2q+1}{q-5}$

$pq-5p=2q+1$

$(p-2)q= 5p+1$

$q= \frac{5p+1}{p-2}$

Here, $p \neq 2$ is the range.

Option 1)

$p \neq 2$

Correct option

Option 2)

$q \neq 5$

Incorrect option

Option 3)

$p \neq 5$

Incorrect option

Option 4)

None of these.

Incorrect option

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