Calculate the straight-line distance between the Cartesian points P(1, -2) and Q(7, 6).
Answer and explanation
Correct answer: A. 10 units
- Step 1: Apply Euclidean distance formula: d = √[(x2 - x1)² + (y2 - y1)²]. Step 2. Substitute coordinates: d = √[(7 - 1)² + (6 - (-2))²] = √[6² + 8²] = √[36 + 64] = √100 = 10 units. Answer: 10 units. Why not the others: 14 units is 6 + 8; 8 units is the vertical difference; 12 units is an arithmetic error.
Practise more Geometry, Trigonometry, Statistics and Probability.
Free questions with an explanation for every one, and full timed NECO Senior School Certificate Examination mock tests.
More Geometry, Trigonometry, Statistics and Probability questions
- An arc of a circle subtends an angle of 140° at the center of the circle. What angle does this same arc subtend at any point on the remainin…
- In a cyclic quadrilateral ABCD, the interior angle ∠A measures (3x - 10)° and the opposite interior angle ∠C measures (2x + 40)°. What is th…
- A tangent line PT touches a circle at point T, and a chord TA is drawn such that ∠PTA = 55°. If point B lies on the major arc such that tria…
- If each interior angle of a regular polygon measures 144°, how many sides does the polygon possess?
- Find the coordinates of the midpoint of the line segment joining the points A(-4, 7) and B(2, -3).
- Determine the gradient (slope) of a straight line that is perpendicular to the line with equation 2x + 5y - 10 = 0.