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Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.?
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Find the distance between tye following pairs of points (-3, -2) and (...
**Distance between two points**
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
**Given points**
The given points are (-3, -2) and (-6, 7). We need to find the distance between these two points.
**Applying the distance formula**
Using the distance formula, we substitute the coordinates of the given points into the formula:
d = √[(-6 - (-3))^2 + (7 - (-2))^2]
Simplifying this expression, we get:
d = √[(-6 + 3)^2 + (7 + 2)^2]
= √[(-3)^2 + (9)^2]
= √[9 + 81]
= √90
**Simplifying the square root**
To simplify the square root of 90, we can factorize it into its prime factors:
90 = 2 * 3 * 3 * 5
Taking the square root, we can split the factors into pairs:
√90 = √(2 * 3 * 3 * 5)
= √(2 * 3^2 * 5)
= 3√2√5
So, the simplified square root of 90 is 3√2√5.
**Final result**
Therefore, the distance between the points (-3, -2) and (-6, 7) is 3√2√5 units.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
**Given points**
The given points are (-3, -2) and (-6, 7). We need to find the distance between these two points.
**Applying the distance formula**
Using the distance formula, we substitute the coordinates of the given points into the formula:
d = √[(-6 - (-3))^2 + (7 - (-2))^2]
Simplifying this expression, we get:
d = √[(-6 + 3)^2 + (7 + 2)^2]
= √[(-3)^2 + (9)^2]
= √[9 + 81]
= √90
**Simplifying the square root**
To simplify the square root of 90, we can factorize it into its prime factors:
90 = 2 * 3 * 3 * 5
Taking the square root, we can split the factors into pairs:
√90 = √(2 * 3 * 3 * 5)
= √(2 * 3^2 * 5)
= 3√2√5
So, the simplified square root of 90 is 3√2√5.
**Final result**
Therefore, the distance between the points (-3, -2) and (-6, 7) is 3√2√5 units.
Community Answer
Find the distance between tye following pairs of points (-3, -2) and (...
3sqrt(10)
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Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.?
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Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.?.
Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the distance between tye following pairs of points (-3, -2) and (-6,7), the axes being inclined at 60degrees. This question is given in The Elements Of Coordinate Geometry Part1 Cartesian Coordinates by SL Loney Example 1 question no.3.?.
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