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Problems in Plane Analytic Geometry - Problems with Solutions

Problem 1
Find the distance between A(5, -3) and B(2, 1).
Problem 2
Find the slope of a line, which passes through point А(5, -3) and meets y axis at 7.
Problem 3
Find the equation of a line which passes through A(4, -1) and is parallel to x axis.
Problem 4
Find the equation of a line which intercept y axis at -4 and also intercept x axis at 2.
Problem 5
Find the distance between A(4, -3) and the line L:3x - 4y + 2 = 0.
Problem 6
Find the area of a triangle with vertices: A(0, -3), B(5, 0), C(0, 3).
Problem 7
If the distance of A(2x - 3, 5) from line x = -4 is equal to 7, then find the value of a.
Answer format: m,n where m < n
Problem 8
Find the value of m, such that D1, D2, D3 meet each other at one point.
D1: x - y = 1
D2: 2x + y = 5
D3: (2m - 5)x - my = 3
Answer format: p/q
Easy
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