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Lecture - 17 Chapter 10 Straight Lines

Miscellaneous Example 20. If the lines 2x+y-3=0, 5x+ky-3=0 and 3xy-2=0 are concurrent, find the value of k.

Miscellaneous Example 21. Find the distance of the line 4xy = 0 from the point P (4, 1) measured along the line making an angle of 135° with the positive x-axis.

Miscellaneous Example 22. Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x – 3y + 4 = 0.

Miscellaneous Example 23. how that the area of the triangle formed by the lines y=m_1x+c_1, y=m_2x+c_2 and x=0 is \frac{(c_1-c_2)^2}{2|m_1-m_2|}.

Miscellaneous Example 24. A line is such that its segment between the lines 5xy + 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5). Obtain its equation.

Miscellaneous Example 25. Show that the path of a moving point such that its distances from two lines 3x – 2y = 5 and 3x + 2y = 5 are equal is a straight line.