Signs of coordinates MCQs With Answer

Signs of coordinates MCQs With Answer is a focused collection designed for B. Pharm students to master Cartesian and spatial coordinate concepts used in plotting drug concentration–time profiles, dose-response curves, and lab data interpretation. This introduction clarifies quadrant sign conventions, axis reflections, coordinate transformations, and 3D octant identification while relating them to pharmacokinetics and pharmacodynamics graphing. Clear explanations of sign changes during rotations, translations, and reflections help students interpret slopes, midpoints, and distances in clinical and laboratory contexts. These targeted MCQs reinforce mathematical precision essential for accurate data visualization and calculation in pharmaceutical practice. Now let’s test your knowledge with 50 MCQs on this topic.

Q1. What are the signs of x and y coordinates in the first quadrant?

• Negative x, positive y
• Positive x, positive y
• Negative x, negative y
• Positive x, negative y

Correct Answer: Positive x, positive y

Q2. If a point lies in the second quadrant, what are the signs of (x, y)?

• Positive x, positive y
• Negative x, positive y
• Negative x, negative y
• Positive x, negative y

Correct Answer: Negative x, positive y

Q3. Coordinates (−3, −5) are located in which quadrant?

• First quadrant
• Second quadrant
• Third quadrant
• Fourth quadrant

Correct Answer: Third quadrant

Q4. A point lies on the positive x-axis. Which is true about its coordinates?

• x = 0 and y > 0
• x > 0 and y = 0
• x < 0 and y = 0
• x = 0 and y < 0

Correct Answer: x > 0 and y = 0

Q5. Which transformation changes (x, y) to (−x, y)?

• Reflection across the x-axis
• Reflection across the y-axis
• Rotation by 90° counterclockwise
• Translation right by x units

Correct Answer: Reflection across the y-axis

Q6. A 90° counterclockwise rotation of (x, y) yields which coordinates?

• (y, −x)
• (−y, x)
• (−x, −y)
• (x, y)

Correct Answer: (−y, x)

Q7. What are the coordinates after a 180° rotation of (2, −4)?

• (−2, 4)
• (2, 4)
• (−2, −4)
• (4, −2)

Correct Answer: (−2, 4)

Q8. Which quadrant contains points with x > 0 and y < 0?

• First quadrant
• Second quadrant
• Third quadrant
• Fourth quadrant

Correct Answer: Fourth quadrant

Q9. The midpoint of points (2, 6) and (8, 4) is:

• (5, 5)
• (10, 10)
• (−3, −1)
• (4, 6)

Correct Answer: (5, 5)

Q10. Distance between (1, 2) and (4, 6) equals:

• 3
• 5
• 4
• sqrt(13)

Correct Answer: 5

Q11. If a line between two concentration-time points has a negative slope, what does the sign indicate?

• Concentration is increasing over time
• Concentration is decreasing over time
• Time is negative
• No change in concentration

Correct Answer: Concentration is decreasing over time

Q12. What is the slope of the line through (2, 3) and (5, 11)?

• 8/3
• 3/8
• −8/3
• 4

Correct Answer: 8/3

Q13. Reflection of (x, y) across the x-axis results in:

• (x, −y)
• (−x, y)
• (y, x)
• (−y, −x)

Correct Answer: (x, −y)

Q14. Which coordinate lies on both axes?

• (0, 0)
• (1, 0)
• (0, 2)
• (−1, 1)

Correct Answer: (0, 0)

Q15. If a pharmacokinetic profile is mirrored across the y-axis, the point (3, 50) becomes:

• (−3, 50)
• (3, −50)
• (−3, −50)
• (50, 3)

Correct Answer: (−3, 50)

Q16. In 3D coordinates (x, y, z), what signs define the first octant?

• x > 0, y > 0, z > 0
• x < 0, y > 0, z > 0
• x < 0, y < 0, z < 0
• x > 0, y < 0, z > 0

Correct Answer: x > 0, y > 0, z > 0

Q17. Which operation converts (x, y) to (x + a, y + b)?

• Rotation
• Reflection
• Translation
• Scaling

Correct Answer: Translation

Q18. The point (0, −7) lies on which axis?

• x-axis
• y-axis
• Both axes
• Neither axis

Correct Answer: y-axis

Q19. Which of the following changes the sign of both coordinates?

• Translation by (1, 1)
• 90° rotation
• 180° rotation
• Reflection across y = x

Correct Answer: 180° rotation

Q20. If vector from A to B is (−4, 3), what does a negative x-component indicate?

• Movement in positive x-direction
• Movement in negative x-direction
• No movement in x-direction
• Movement parallel to y-axis

Correct Answer: Movement in negative x-direction

Q21. Which coordinate sign pattern corresponds to a point left of the y-axis and above the x-axis?

• (+, +)
• (−, +)
• (−, −)
• (+, −)

Correct Answer: (−, +)

Q22. A drug concentration point changes from (2, 5) to (2, −5). What transformation occurred?

• Reflection across y-axis
• Reflection across x-axis
• Rotation by 90°
• Translation down by 10 units

Correct Answer: Reflection across x-axis

Q23. Which of the following gives the midpoint formula for (x1, y1) and (x2, y2)?

• ((x1 + x2)/2, (y1 + y2)/2)
• ((x1 − x2)/2, (y1 − y2)/2)
• ((x1 * x2)/2, (y1 * y2)/2)
• ((x1^2 + x2^2)/2, (y1^2 + y2^2)/2)

Correct Answer: ((x1 + x2)/2, (y1 + y2)/2)

Q24. Which quadrant contains points with both coordinates negative?

• First quadrant
• Second quadrant
• Third quadrant
• Fourth quadrant

Correct Answer: Third quadrant

Q25. For polar coordinates, a negative radius r indicates:

• A point on the opposite ray with positive radius
• No defined point
• Point on the positive x-axis only
• Radius mirrored about origin only

Correct Answer: A point on the opposite ray with positive radius

Q26. Which coordinate transformation represents reflection across the line y = x?

• (x, y) → (−x, −y)
• (x, y) → (y, x)
• (x, y) → (x, −y)
• (x, y) → (−y, −x)

Correct Answer: (x, y) → (y, x)

Q27. What is the sign of the product x*y in the second quadrant?

• Positive
• Negative
• Zero
• Undefined

Correct Answer: Negative

Q28. Which of the following is true for point (−6, 0)?

• It lies on the positive y-axis
• It lies on the negative x-axis
• It is in the fourth quadrant
• Both coordinates are positive

Correct Answer: It lies on the negative x-axis

Q29. If a concentration profile is rotated 90° clockwise, (x, y) becomes:

• (y, −x)
• (−y, x)
• (x, y)
• (−x, −y)

Correct Answer: (y, −x)

Q30. A point with coordinates (0, 4) has which x sign?

• Positive
• Negative
• Zero
• Undefined

Correct Answer: Zero

Q31. Which of the following correctly identifies the change when reflecting (3, −2) across the y-axis?

• (3, −2) → (−3, −2)
• (3, −2) → (3, 2)
• (3, −2) → (−3, 2)
• (3, −2) → (2, 3)

Correct Answer: (3, −2) → (−3, −2)

Q32. The slope sign between (−1, 2) and (3, −6) is:

• Positive
• Negative
• Zero
• Undefined

Correct Answer: Negative

Q33. In pharmacology plotting, converting a point (time, concentration) to (−time, concentration) corresponds to:

• Forward time translation
• Time reversal (mirror across y-axis)
• Concentration inversion
• Scaling concentration

Correct Answer: Time reversal (mirror across y-axis)

Q34. Which coordinate pair is symmetric to (4, 7) with respect to origin?

• (4, −7)
• (−4, −7)
• (−4, 7)
• (7, 4)

Correct Answer: (−4, −7)

Q35. Point (−2, 5) reflected across y = x becomes:

• (5, −2)
• (−5, 2)
• (2, −5)
• (5, −2)

Correct Answer: (5, −2)

Q36. If a point moves from quadrant II to quadrant IV, which coordinate signs changed?

• x sign changed, y sign changed
• x sign same, y sign changed
• x sign changed, y sign same
• Neither sign changed

Correct Answer: x sign changed, y sign changed

Q37. Which statement is true for coordinates (x, y) and (−x, y)?

• They are reflections across the x-axis
• They are reflections across the y-axis
• They are reflections across the origin
• They are identical points

Correct Answer: They are reflections across the y-axis

Q38. For 3D point (−3, 2, −1), which octant is it in assuming standard numbering?

• First octant
• An octant with mixed signs (−, +, −)
• Octant where all are positive
• On an axis

Correct Answer: An octant with mixed signs (−, +, −)

Q39. When plotting a declining drug concentration, the tangent slope at a point is negative. What does slope sign imply about instantaneous rate?

• Instantaneous rate is increasing
• Instantaneous rate is decreasing (negative)
• Instantaneous rate is zero
• Instantaneous rate is undefined

Correct Answer: Instantaneous rate is decreasing (negative)

Q40. What happens to (x, y) under reflection across the line y = −x?

• (x, y) → (y, x)
• (x, y) → (−y, −x)
• (x, y) → (−x, y)
• (x, y) → (x, −y)

Correct Answer: (x, y) → (−y, −x)

Q41. Slope sign between points (0, 5) and (5, 0) is:

• Positive 1
• Negative 1
• Zero
• Undefined

Correct Answer: Negative 1

Q42. If concentration C(t) = C0 e^(−kt), the exponent sign (−k) indicates:

• Exponential growth
• Exponential decay
• Oscillation
• Linear increase

Correct Answer: Exponential decay

Q43. Which coordinates represent a point reflected across the origin from (7, −3)?

• (7, 3)
• (−7, 3)
• (−7, 3)
• (−7, 3)

Correct Answer: (−7, 3)

Q44. The angle between vector (1, 0) and (−1, 0) gives what dot product sign?

• Positive
• Zero
• Negative
• Undefined

Correct Answer: Negative

Q45. If the x-coordinate sign is flipped while y remains same, what movement happened?

• Reflection across x-axis
• Reflection across y-axis
• Rotation by 180°
• Translation along y

Correct Answer: Reflection across y-axis

Q46. For points (−2, −3) and (4, 5), the line connecting them has what general slope sign?

• Positive
• Negative
• Zero
• Undefined

Correct Answer: Positive

Q47. Which coordinate has opposite signs for x and y?

• (3, 4)
• (−3, 4)
• (−3, −4)
• (0, 0)

Correct Answer: (−3, 4)

Q48. The transformation (x, y) → (x, y) + (−2, 0) is equivalent to:

• Translation left by 2 units
• Translation right by 2 units
• Reflection across y-axis
• Rotation by 180°

Correct Answer: Translation left by 2 units

Q49. If two points have coordinates with product of x-components negative, what does that imply about their x-positions?

• Both are positive
• Both are negative
• They lie on opposite sides of y-axis
• Both lie on y-axis

Correct Answer: They lie on opposite sides of y-axis

Q50. Which of the following best links coordinate sign knowledge to B. Pharm practice?

• Understanding quadrant signs helps interpret and transform pharmacokinetic graphs and data correctly
• Coordinate signs are irrelevant to pharmacology
• Only chemistry uses coordinate signs
• Signs of coordinates only matter in pure mathematics exams

Correct Answer: Understanding quadrant signs helps interpret and transform pharmacokinetic graphs and data correctly

Download