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2. Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

2. Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 6228 Points
3 months ago
Let equation of a line be x + y + c = 0. If (2, 14) lies on it, then 2 + 14 + c = 0 => c = - 16 :. Equation' of a line is % + y - 16 = 0. Let equation of another line be % - 3y + c = 0. If (2, 14) lies on it, then 2 - 42 + c = 0 => c = 40. :. Equation of another line is z - 3y + 40 = 0. There can be infinitely many lines passing through the point (2, 14), because through a point infinitely many lines can be drawn.

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