NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 7: Coordinate Geometry - Exercise 7.1Question 2
Class 10 - Mathematics - CHAPTER 7: Coordinate Geometry - Exercise 7.1
Question. 2
The distance between the points \(A(0,6)\) and \(B(0,-2)\) is
(A)
6
(B)
8
(C)
4
(D)
2
Handwritten Notes
Video Explanation:
Detailed Answer with Explanation:
Step 1: Write the coordinates of the two points.
Point A is \((0, 6)\) and Point B is \((0, -2)\).
Step 2: Notice that the x-coordinates of both points are the same (0 and 0). This means both points lie on the y-axis. So, the distance is simply the difference in their y-coordinates.
Step 3: Apply the distance formula for vertical points: \[ \text{Distance} = |y_2 - y_1| \]
Step 4: Substitute the values: \[ |y_2 - y_1| = |-2 - 6| \]
Step 5: Simplify inside the modulus: \[ |-2 - 6| = |-8| \]
Step 6: The modulus of \(-8\) is 8.
Final Answer: The distance between the two points is 8 units.