Tamil Nadu Board of Secondary EducationHSC Science Class 11th

# Find the distance between the line 4x + 3y + 4 = 0, and a point (7, −3) - Mathematics

Sum

Find the distance between the line 4x + 3y + 4 = 0, and a point (7, −3)

#### Solution

Given point (x1, y1) = (7, – 3)

Given line 4x + 3y + 4 = 0

Required distance = (4(7) + 3( - 3) + 4)/sqrt(4^2 + 3^2)

= (28 - 9 + 4)/sqrt(16 + 9)

= 23/5

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. (ii) | Page 271
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