Question

If a > 0, b < 0 and c > 0, then the point $(a,b^{2}c)$ lies in

• A.
  First quadrant
• B.
  Second quadrant
• C.
  Third quadrant
• D.
  Fourth quadrant

Answer 1

The correct option is A

First quadrant
Given: a > 0, b < 0 and c > 0
Now, b < 0
$\Rightarrow b^2>0\Rightarrow b^{2}c>0(\because c>0)$

Thus, a > 0 and $b^{2}c>0.$

Therefore, $(a,b^{2}c)$ lies in the first quadrant.

Hence, the correct answer is option (a).