A point, whose x-coordinate is greater than zero and y-coordinate is \(\frac{1}{6}\)th of x-coordinate, will lie on the:

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Allahabad High Court Group D (Mains) Exam Official Paper (Held On: 02 Apr, 2023)
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  1. Point of intersection of axis.
  2. Positive side of x-axis
  3. First quadrant
  4. Positive side of y-axis

Answer (Detailed Solution Below)

Option 3 : First quadrant
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Detailed Solution

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Given:

x-coordinate > 0

y-coordinate = 16 × x-coordinate

Formula Used:

To determine the quadrant of the point (x, y)

Calculation:

Let the x-coordinate be x.

y = 16 x

Since x > 0, y will also be positive as 16 is a positive constant.

Therefore, the point (x, y) lies in the first quadrant where both x and y are positive.

The point lies in the first quadrant.

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