SATHEE: Straight Line Question 354

Straight Line Question 354

Question: A line AB makes zero intercepts on x?axis and y?axis and it is perpendicular to another line CD, $ 3x+4y+6=0. $ The equation of line AB is [Karnataka CET 2001]

Options:

A) $ y=4 $

B) $ 4x-3y+8=0 $

C) $ 4x-3y=0 $

D) $ 4x-3y+6=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

Given, line AB making 0 intercepts on x-axis and y-axis or $ (x_1,y_1)\equiv (0,0) $ and the line is perpendicular to line $ CD,3x+4y+6=0 $ . We know that standard equation of a line is $ y=ax+b. $ Comparing given equation of line CD with the standard equation, we get $ a=3 $ and $ b=4 $ . We also know that slope of the given line $ CD=-\frac{a}{b}=\frac{-3}{4}. $ Since the line AB is perpendicular to the line CD, therefore slope of the line $ AB(m)=\frac{4}{3} $ . Thus relation for the equation of the line AB will be $ (y-y_1)=m(x-x_1) $ or $ y-0=\frac{4}{3}(x-0) $ or $ 3y=4x $ or $ 4x-3y=0 $ .

BETA

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on I understand

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें

Straight Line Question 354

Question: A line AB makes zero intercepts on x?axis and y?axis and it is perpendicular to another line CD, $ 3x+4y+6=0. $ The equation of line AB is [Karnataka CET 2001]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Video Solution

Menu