Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle.

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Conditions for Perpendicular Lines Using Slopes | PadhAiPro

Question

TextConditions for Perpendicular Lines Using Slopes

Line through the points (–2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.

Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6).

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1: n. Find the equation of the line.

Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3.

The line through the points (h, 3) and (4, 1) intersects the line 7x – 9y – 19 = 0 at right angle. Find the value of h.

Find the equation of the right bisector of the line segment joining the points (3, 4) and (–1, 2).