Q. 4

Reduce the lines 3x – 4y + 4 = 0 and 2x + 4y – 5 = 0 to the normal form and hence find which line is nearer to the origin.

Answer :

Given:


The normal forms of the lines 3x − 4y + 4 = 0 and 2x + 4y − 5 = 0.


To find:


In given normal form of a line, Which is nearer to the origin.


Explanation:




Dividing both sides by


…… (1)


Now 2x + 4y = - 5


- 2x – 4y = 5



Dividing both sides by


…… (2)


From equations (1) and (2):


45<525


Hence, the line 3x − 4y + 4 = 0 is nearer to the origin.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Various Forms of Equations of lineVarious Forms of Equations of lineVarious Forms of Equations of line45 mins
Parametric Equations of Straight lineParametric Equations of Straight lineParametric Equations of Straight line48 mins
Straight line | Analyse your learning through quizStraight line | Analyse your learning through quizStraight line | Analyse your learning through quiz56 mins
Slope, inclination and angle between two linesSlope, inclination and angle between two linesSlope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of lineInteractive Quiz on Equations of lineInteractive Quiz on Equations of line23 mins
General Equation of a lineGeneral Equation of a lineGeneral Equation of a line43 mins
Motion in a Straight Line - 03Motion in a Straight Line - 03Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 06Motion in a Straight Line - 06Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 05Motion in a Straight Line - 05Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 01Motion in a Straight Line - 01Motion in a Straight Line - 0152 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses