Math, asked by akshajagaddam, 1 month ago

2. The set of all points that forms a triangle of area 15 sq. units with the points (1,-2) and (-5, 3) lies on​

Answers

Answered by pk0062888
0

Answer:

left side of the triangle

Answered by abhi178
1

The set of all points that forms a triangle of area 15 sq units with the points (1, -2) and (-5, 3) lies on.

solution : let a point (x, y) forms a triangle by joining the lines with (1, -2) and (-5, 3).

area of triangle = 1/2|x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|

⇒15 = 1/2|x(-2 - 3) + 1(3 - y) - 5(y + 2)|

⇒30 = |-5x + 3 - y - 5y - 10|

⇒30 = |-5x - 6y - 7|

⇒30 = -5x - 6y - 7 or, -30 = -5x - 6y - 7

⇒5x + 6y + 37 = 0 or, 5x + 6y - 23 = 0

Therefore the set of all points will be (5x + 6y + 37)(5x + 6y - 23) = 0

also read similar questions : The area of the triangle formed by the points (-1, 6), (-3, -9) and (1, -3) is ____ sq. units

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SET-A [10] Using integration find the area of triangle with vertices

(5, 1), (5, 3) and (7,0).

(Ans. 2 Sq. units]

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