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

Visalakshi Venkatesh

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

. Einstein’s Theory of Relativity states that the speed of light in vacuum is __________. (Independent of the motion of the source and the observer, affected by either drift, dependent on the motion of the source and the observer)
Independent of the motion of the source and the observer
Narendra Kumar
0 0
6
Hi, I want to teach online accounts mainly to Class 11, 12 and B.Com students, but I don't have notes, so is it necessary to have notes or how can I develop them, request you to help me regarding this.
Hi Piyush, in online teaching you have to be systematic and very clear in whatever topic you are targeting and for that you should go point vice, so at least you prepare that piont in your mind before starting your online teaching.
Piyush
The SI unit of current is __________. (Ampere, Coulomb, volt, None of these)
Ampere
Narendra Kumar
0 0
6
x-rays were discovered by __________. (Madam Curie, Rontgen, Coolidge, Laue)
Rontgen
Narendra Kumar
Is a partner entitled to salary if he works more than others if partnership deed is silent?
No partner is entitled to a salary if Partnership Deed is silent on it. It doesnt make any difference if he works more than others, if Partnership Deed is silent on it.
Raindial
0 0
5

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

Ask a Question

Related Lessons

Class 11- C++ (Classes and objects)
C++ has an advantage over C, which is the primary reason why C became obsolete. The concept of Object Orientation is the missing link which connects or enhances our programming approach more towards the...

Prachi Sharma

0 0
0
Preparation tips for NEET-UG examination
There is no doubt about the fact that the NEET-UG examination is a tough one. The following tips will help deal with stress and perform better: Know the syllabus of the examination well: The very first...
B

Bidisha Ghosh

0 0
0
Entrepreneurship Development
1. Meaning and Definition of Entrepreneur: The word entrepreneur has come from the France word “entreprendra”which means to undertake, to pursue opportunities to fulfill needs and wants...

Kousiki Chakraborty

1 0
0
Tip during exams
Even though you did a full length preparation and revised all chapters just a day before exam you will be confused if everything is memorised or not. In such situation build confidence rather than subject...

Prathyush T

0 0
0
Continuity

Subhankar Mukherjee

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 Hyderabad
Grade 12 Tuition in Chennai
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Pune
Grade 12 Tuition in Noida
Grade 12 Tuition in Jaipur
Grade 12 Tuition in Lucknow
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