I have 17 lines in the plane such that no two are parallel and no three intersect in a point. How many points of intersection are there?

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: 4. Determine the perimeter and area of the triangle whose vertices are at the origin and the x and…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

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Q: Solve the following problem and explain your answer for better understanding. Given a set of points…

A: In a projective plane, any two distinct points can be connected by exactly one line. Since no three…

Q: ) 1. Find the equation of the line that passes through the points (9,7) and (11,17). Give answer in…

A: The given problem is to find the equation of line passing through the given points. Given points…

Q: 8) In the triangle ABC, A, B, and C are points (0, 2), (1, 5) and (-1, 4). Find the coordinates of…

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Q: What is the distance of the point (7, 2, 8) to the line through the points (-3, 0, 1) and (1,-4,-1)?…

A: We know,             Equation of the straight line passing through the points (x1, y1, z1) and (x2,…

Q: Answer each of the following. If there are 8 distinct points on a plane with no three of which are…

A: Given,Total no.of persons=8

Q: Given A(-5, 4) & C(3, -4), where C is a mid-point of segment AB. Find the coordinates of the point…

A: Given query is to find the coordinates of B.