UrbanPro

Location Set your Location

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 > Learn Class XI-XII Tuition (PUC) > 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

Learn Class XI-XII Tuition (PUC)

Follow 3
Answer

Please enter your answer

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

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

AMIE

Let line equation be: x/a + y/b = 1 ......... (i) given: a + b=1 => b=1 - a also, ab=-6 a*(1-a)= -6 a -a^2 = -6 a^2 - a - 6=0 (a - 3) * (a + 2)= 0 a=3; a=-2 => b = -2 b = 3 From (i) Equation...
read more
Let line equation be: x/a + y/b = 1 ......... (i) given: a + b=1 => b=1 - a also, ab=-6 a*(1-a)= -6 a -a^2 = -6 a^2 - a - 6=0 (a - 3) * (a + 2)= 0 a=3; a=-2 => b = -2 b = 3 From (i) Equation is: x/3 - y/2 = 1 (or) x/2 - y/3 = -1 read less
Comments
Dislike Bookmark

Software Professional Tutor

if intercepts are a and b on X and Y axis respectively, then equation will be x/a + y/b = 1 (x and y intercept form) a + b = 1 a*b = -6 By solving above two equations, you get a = -2 and b = 3 So equation of line is: x/a + y/b = 1 x/(-2) + y/3 = 1 -3x + 2y = 6 3x -2y + 6 = 0 There will...
read more
if intercepts are a and b on X and Y axis respectively, then equation will be x/a + y/b = 1 (x and y intercept form) a + b = 1 a*b = -6 By solving above two equations, you get a = -2 and b = 3 So equation of line is: x/a + y/b = 1 x/(-2) + y/3 = 1 -3x + 2y = 6 3x -2y + 6 = 0 There will be one more line if we consider a = 3 and b = -2. So based on given details, there will be two lines. read less
Comments
Dislike Bookmark

2x-3y-6=0 and 3x-2y+6=0.
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

Online Tutor with rich experience in delivering expert level knowledge in Mathematics, ITIL Foundation and Marketing Management

Let x1 be the x-intercept and y1 be the y-intercept. Then according to problem, x1 + y1 = 1 and x1y1= -6. On solving, we get 2 and -3 as the values of x1 and y1. So according to intercept form, the equations of line will be 2x-3y-9=0 and 3x-2y+4=0 ..
Comments
Dislike Bookmark

B.Tech from IIT Bombay in Electrical Engg.

-3x+2y=6 or 2x-3y=6
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

View 15 more Answers

Related Questions

Hi, I would like to ask to all professor, all over India Level, regarding HSC State Board... Which important questions from your subjects have you suggested your students to study for the upcoming HSC Board Exam 2016?
yes
Kavya
1 1
8
What is plasma state?
A plasma is an ionized gas, a gas into which sufficient energy is provided to free electrons from atoms or molecules and to allow both species, ions and electrons, to coexist. The funny thing about that...
Ravi Ranjan
A geometric shape of a solid obtained by regular, repetitive, three-dimensional arrangements of its molecules, atoms or ions is called a __________. (Crystal, Lattice, Crystal plane, None of these)
Crystal Lattice
Narendra Kumar
0 0
7
Recycling refers to: 1. burning trash completely 2. burying trash in a landfill 3. reducing the amount of waste left over from using a product 4. reusing a resource to make something new
4. reusing a resource to make something new
Sugantha
0 0
6
I am a professional. I have 2 years of Teaching(Physics lecturer) experience. Currently I am on a break. Planning to work from home. ie Content writing related to physics etc. Plz contact me
I need a physics tutor in west mambalam area for my institute, so you can contact me.
Sandhya
2 0
7

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

Ask a Question

Related Lessons

Sole Proprietorship Firm - Features, Merits, Demerits
What is a sole proprietorship firm? What are its features, merits and demerits? (3 videos)

Rajiv Vadera

0 0
0
Easiest way to find Squares of adjacent numbers
Here is the easiest way to find squares of adjacent numbers 12 * 12 = 14413 * 13 = 144 + 12 + 1314 * 14 = 144 + 12 + 13 + 13 + 14............................59 * 59 = (60 * 60) - 60 - 59 = 3600 - 60 -...

Debraj Paul

1 0
0
Best shortcuts to use in mathematics problems.
Many students ask me question "is there any shortcut methods to solve a question?" actually I want to refer to the answer of this question. First of all, shortcuts is not acceptable by your board exams....

Vishal Pandey

1 0
0
Mean value theorem in Calculus
Mean value theorem in simple terms: 1. If a real valued function f(x) is continuous over an closed interval 2. And this function is differentiable over an open interval (a,b) 3. f(a) ≠ f(b) : (...

B.Sudhakar

7 0
0
Revision
Every new concept learned must be revised with a periodic interval of 3-7-21 days.

Rasika P.

0 0
0

Recommended Articles

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

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 >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

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 >

Find PUC Tuition near you
PUC Tuition in Delhi
PUC Tuition in Bangalore
PUC Tuition in Hyderabad
PUC Tuition in Kolkata
PUC Tuition in Mumbai
PUC Tuition in Chennai
PUC Tuition in Pune
PUC Tuition in Jaipur
PUC Tuition in Lucknow
PUC Tuition in Noida

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 © 2010-2024All Rights Reserved