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.If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is?
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Solution:
We know that the distance between two points, (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 - x1)² + (y2 - y1)²)
Given points are (2, -2) and (-1, y), and the distance between them is 5.
So, we can write:
5 = √((-1 - 2)² + (y - (-2))²)
Squaring on both sides, we get:
25 = (-1 - 2)² + (y + 2)²
25 = 9 + (y + 2)²
Subtracting 9 from both sides, we get:
16 = (y + 2)²
Taking square root on both sides, we get:
±4 = y + 2
So, y can be either -2 + 4 = 2 or -2 - 4 = -6.
Therefore, one of the values of y is 2.
Final Answer: y = 2.
We know that the distance between two points, (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 - x1)² + (y2 - y1)²)
Given points are (2, -2) and (-1, y), and the distance between them is 5.
So, we can write:
5 = √((-1 - 2)² + (y - (-2))²)
Squaring on both sides, we get:
25 = (-1 - 2)² + (y + 2)²
25 = 9 + (y + 2)²
Subtracting 9 from both sides, we get:
16 = (y + 2)²
Taking square root on both sides, we get:
±4 = y + 2
So, y can be either -2 + 4 = 2 or -2 - 4 = -6.
Therefore, one of the values of y is 2.
Final Answer: y = 2.
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.If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is?
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.If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about .If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is?.
.If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about .If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .If the distance between the points (2 , -2) and ( -1 , y) is 5, one of the value of y is?.
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