19. If origin is at one end of a line segment whose midpoint is (1, 0), then the coordinates of other end of segment is:
Answers
Answer:
Let O(0,0) be the origin and A(10,0),B(0,100)
So by distance formula we have,
Distance between two points =
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
OA
2
=(10−0)
2
+(0−0)
2
=100,OB
2
=(0−0)
2
+(100−0)
2
=10000
OA
2
+OB
2
=100+10000=10100---------(1)
AB
2
=(10−0)
2
+(0−100)
2
=10100----------(2)
From (1) and (2) we get
OA
2
+OB
2
=AB
2
In △OAB, OA
2
+OB
2
=AB
2
∴∠AOB=90°
Therefore, angle subtended the line segment AB at origin is 90°
Step-by-step explanation:
Answer:
If origin is at one end of a line segment whose mid-point is (1,0), then the point lies on y- axis because the x coordinate is 1.
Step-by-step explanation:
Step 1: If the number line is vertical, it extends to the positive and negative infinities, up and down from the line's origin, respectively. The number 0 is referred to as the number line's genesis.
Step 2: The x-axis is horizontal, whereas the y-axis is vertical. They cross at a place with a value of zero. Simply said, to locate a line's origin, locate the location where all coordinates are equal to zero and both axes of a coordinate system overlap.
Step 3: Numerous historians and academics concur that India is where zero as we know it today initially appeared. Several other societies, like the Mayans and the Babylonians, had the idea of designating nothingness, but the ancient Indians were the first to recognise it as a real number rather than just a placeholder. If origin is at one end of a line segment whose mid-point is (1,0), then the point lies on y- axis because the x coordinate is 1.
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