given the linear equation 2x+3y-8=0, write another linear equation such that the linear represented by the pair are intersecting lines ii) parallel lines iii) coincident lines
Answers
Answer:
Answer
Open in answr app
a) Intersecting lines
Solution: For intersecting line, the linear equations should meet following condition:
a2a1=b2b1
For getting another equation to meet this criterion, multiply the coefficient of x with any number and multiply the coefficient of y with any other number. A possible equation can be as follows:
4x+9y−8=0
(b) Parallel lines
Solution: For parallel lines, the linear equations should meet following condition:
a2a1=b2b1=c2c1
For getting another equation to meet this criterion, multiply the coefficients of x and y with the same number and multiply the constant term with any other number. A possible equation can be as follows:
4x+6y–24=0
(c) Coincident lines
Solution: For getting coincident lines, the equations should meet following condition;
a2a1=b2b1=c2c1
For getting another equation to meet this criterion, multiply the whole equation with any number. A possible equation can be as follows:
4x+6y–16=0
Answer:
bye Tata see you next time