Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

# Find the distance between the line 4x + 3y + 4 = 0, and a point (−2, 4) - Mathematics

Sum

Find the distance between the line 4x + 3y + 4 = 0, and a point (−2, 4)

#### Solution

The distance between the line ax + by + c = 0 and the point (x1, y1) is d = ("a"x_1 + "b"y_1 + "c")/(sqrt("a"^2 + "b"^2)

Here (x1, y1) = (−2, 4) and the equation of the line is 4x + 3y + 4 = 0

∴ Required dostance = (4(- 2) + 3(4) + 4)/sqrt(4^2 + 3^2)

= (- 8 + 12 + 4)/(sqrt(16 + 9)

= 8/5

Concept: Angle Between Two Straight Lines
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#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 6 Two Dimensional Analytical Geometry
Exercise 6.3 | Q 3. (i) | Page 271
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