Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# Check whether the given lines are parallel or perpendicular x3+y4+17 = 0 and 2x3+y2+110 = 0 - Mathematics

Sum

Check whether the given lines are parallel or perpendicular

x/3 + y/4 + 1/7 = 0 and (2x)/3 + y/2 + 1/10 = 0

#### Solution

x/3 + y/4 + 1/7 = 0, (2x)/3 + y/2 + 1/10 = 0

Slope of the line (m1) = (-"a")/"b"

= -1/3 ÷ 1/4

= -1/3 xx 4/1

= -4/3

Slope of the line (m2) = -2/3 ÷ 1/2

= -2/3 xx 2/1

= -4/3

m1 = m2 = -4/3

∴ The two lines are parallel.

Is there an error in this question or solution?

#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 5 Coordinate Geometry
Exercise 5.4 | Q 3. (i) | Page 235