Slope, forms of line equation, distance from a point, angle between lines.
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Q1 · Straight Lines (Class 11 — ~20% weight) · EASY
A line passes through the points (2, 3) and (5, 9). What is the slope of this line?
Q2 · Straight Lines (Class 11 — ~20% weight) · MEDIUM
Find the perpendicular distance from the point (3, 4) to the line 3x + 4y - 10 = 0.
Q3 · Straight Lines (Class 11 — ~20% weight) · MEDIUM
Two lines are given by 2x - 3y + 5 = 0 and 3x + ky - 7 = 0. If these lines are perpendicular to each other, find the value of k.
Q4 · Straight Lines (Class 11 — ~20% weight) · MEDIUM
The equation of the line passing through the point (2, 3) and perpendicular to the line 3x − 4y + 7 = 0 is: