UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Find the equations of the lines which cut off intercepts...
✕

Search in

Find the equations of the lines which cut off intercepts on the axes whose sum and product are 1 and -6 respectively.

Asked by Last Modified  

17 Answers

Follow 3
Answer

Please enter your answer

Math Tutor

Equation of straight line in intercept form: x/a + y/b = 1 Here a and b are called the intercepts of x and y respectively. Sum of Intercepts : a+ b = 1 Product of the intercepts = a* b = - 6 Let us try to solve a and b, by writing into a quadratic equation. a + b = 1 a * b...
read more
Equation of straight line in intercept form: x/a + y/b = 1 Here a and b are called the intercepts of x and y respectively. Sum of Intercepts : a+ b = 1 Product of the intercepts = a* b = - 6 Let us try to solve a and b, by writing into a quadratic equation. a + b = 1 a * b = - 6 b = - 6/a a + b = 1 a - 6/a = 1 a^2 - 6 = a a^2 - a - 6 = 0 a^2 - 3a + 2a - 6 = 0 a(a - 3) + 2( a - 3) = 0 (a-3) ( a + 2) = 0 a = 3 or a = - 2 If a = 3, b would be -6/a = -2 If a = -2, then b would be -6/a = 3 Hence equation of line would be either of : x/ -2 + y/3 = 1 x/ 3 + y / -2 = 1 read less
Comments
Dislike Bookmark

Matrix MATH

Let , X-intercept=a and Y-intercept=b ? Equation the lines: x/a +y/b =1 (intercept form)----(1) So we need to know values of a and b. Now according to the question, a+b=1 -------(2) and a.b= -6 -------(3) Solving for a and b, we would get two solutions: (a=3, b=-2) and (a=-2, b=3) Hence from...
read more
Let , X-intercept=a and Y-intercept=b ? Equation the lines: x/a +y/b =1 (intercept form)----(1) So we need to know values of a and b. Now according to the question, a+b=1 -------(2) and a.b= -6 -------(3) Solving for a and b, we would get two solutions: (a=3, b=-2) and (a=-2, b=3) Hence from (1), the required Equations of the lines: x/3 +y/(-2) =1 => 2x – 3y=6 x/(-2) + y/3 = 1=> 2y – 3x = 6 read less
Comments
Dislike Bookmark

Tutor

Intercept means the point where a line crosses the axis. x intercept, is denoted by 'a' and y intercept by 'b'. The intercept form of a line is x/a + y/b = 1 here a+b =1 and ab=-6. Solving these 2 equations a*(1-a)= -6 a -a^2 = -6 multiplying both sides by -1 a^2 - a = 6 a^2 - a - 6...
read more
Intercept means the point where a line crosses the axis. x intercept, is denoted by 'a' and y intercept by 'b'. The intercept form of a line is x/a + y/b = 1 here a+b =1 and ab=-6. Solving these 2 equations a*(1-a)= -6 a -a^2 = -6 multiplying both sides by -1 a^2 - a = 6 a^2 - a - 6 = 0 a^2 + (3-2)a + (-2*3) = 0 (a - 3) * (a + 2)= 0 a = 3; a = -2 Case 1: if a=3 then b= -2, with this the equation is x/3 + y/(-2) = 1 -2x+3y=-6. Simplifying, by multiplying with -1 on both sides we get 2x-3y=6.... this is one equation. Case 2. if a=-2 then b=3 which gives the equation of line as x/(-2) + y/3=1 Taking LCM and cross-multiplying we get 3x-2y=-6....this is the second equation read less
Comments
Dislike Bookmark

Trainer

Solution: Let equation of the required line be x/a + y/b = 1 a+b = 1 ---- (1), ab=- 6 a - b=sqrt(a-b)^2 - 4ab=sqrt(1+24)= plus or minus 5 ---- (2) Adding equations (1) and (2) 2a=6 => a=3 then b=-2 another set== -2 , b=3 Equations x/3 + y/(-2) = 1=> 2x -3y +6=0 3x - 2y...
Comments
Dislike Bookmark

Headstart to assured 95+ score in math

2x - 3y = 6 or -3x + 2y = 6. both lines satisfy the criteria. :)
Comments
Dislike Bookmark

a+b=1,ab=-6,(1-b)b=-6,square of b -b= 6,square of b -b - 6=0,square of b - 3b+2b-6=0,(b-3)(b+2)=0,b=3and b=-2, if b= -2,then a=the equation is x=3, the equation is x/3+y/-2 =1 and if b= 3,x=-2,the equation is( x/-2)+(y/3)=1.
Comments
Dislike Bookmark

Tutor

X/(-2)+y/(3)=1 and x/(3)+y/(-2)=1
Comments
Dislike Bookmark

Chemistry Wizard/English Expert

http://www.mathisfunforum.com/viewtopic.php?pid=350267
Comments
Dislike Bookmark

Math Tutor

x/3 - y/2 = 1
Comments
Dislike Bookmark

2x-3y-6=0 and 3x-2y+6=0.
Comments
Dislike Bookmark

View 15 more Answers

Related Questions

As the supply of tomatoes increases in your local mandi, its price drops. When the local harvest starts reaching the market, the price of tomatoes drops from Rs. 40 per kg to Rs 4 per kg or even less. Is there any relationship between two variables?
The fall in price of tomatoes when the local harvest starts reaching the market is due to following two readons: 1. When supply is in much excess of demand , as per basic theory of economics the price...
Meenakshi
0 0
5
What is magma and what role does it play in changing the ecology of the surrounding area?
Magma is usually studied as lava or igneous rock. But most magma remains molten or partly molten beneath Earth’s surface. In fact, magma has only been discovered three times in its “natural” habitat deep...
Yogi
1 1
7
The part of a heat engine that converts linear movement into circular motion is?
reciprocating engine/piston engine
Kumar Upendra Akshay
Which is charge carrier in conductor electron or proton?
Electron, as proton resides in nucleus of an atom and a removing a proton from nucleus requires approx 10^6 ev energy
Rani
The distance from the center of a circle to its edge is called what?
the distance from the center of the circle to the outer edge is called the radius. The radius is one-half of the measure of the diameter.
Kalam

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

How To Score 90+ in Accountancy Class XII
Hi friends, I am witnessed with the few facts that how your performance gets improved by following activities. 1. Learn all the concepts focus upon learning and applying the concept rather than focusing...

Dinesh Verma

0 0
0
Largest value of min (2 + x^2, 6 -3x) When x > 0
Question: Largest value of min (2 + x^2, 6 -3x) when x > 0. Solution: One is increasing function and other is decreasing. so their intersection is given by: 2+x^2 = 6-3x. x>0 so can't be -4....

Sujoy Das

2 0
0
Scientific Management by F.W.Taylor
F.W.Taylor's principles of scientific management (2 Videos)

Rajiv Vadera

0 0
0
Electric current
Brief description about Electric Current:
B

BHARTI Coaching Institute

0 0
1
Applications Of Integral Calculus
Integral calculus has a lot of practical applications. It can be used to find the area, surface area, Volume for all geometrical shapes. Area= ∫ydx Volume= ∫Πy2dx Thus for finding area, volume...

Kumaresh Natarajan

0 0
0

Recommended Articles

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Grade 12 Tuition near you
Grade 12 Tuition in Delhi
Grade 12 Tuition in Bangalore
Grade 12 Tuition in Chennai
Grade 12 Tuition in Hyderabad
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Pune
Grade 12 Tuition in Lucknow
Grade 12 Tuition in Gurgaon
Grade 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2025 All Rights Reserved