मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0 

बेरीज
Advertisements

उत्तर

The equation of the line is 12x − 5y − 13 = 0 

∴ distance of the point A(− 2, 3) from this line

= `|(12(-2) + (-5)3 - 13)/sqrt((12)^2 + (5)^2)|`

= `|(-24 - 15 - 13)/sqrt(144 + 25)|`

= `52/13`

= 4 units.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Exercise 5.4 [पृष्ठ १२२]

APPEARS IN

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×