Question
If in two linear equations ax + by = c and dx + ey = f
and a/d = b/e = c/f then, which of the following is true about the two equations?Solution
Given, ax + by = c dx + ey = f Formula: If the given equations of straight line are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, then If a2b1 – a1b2 = 0 or a1/a2 = b1/b2 , then lines are parallel If, a1/a2 = b1/b2 = c1/c2 , then lines are coincident. Calculation: ax + by = c dx + ey = f a/d = b/c = e/f If both lines same now we can say both lines are coincident.
Work efficiency of Chacha and Bhatija are in the ratio of 3 : 1. They working together to do a piece of work and completed the work in 24 days. Now in h...
A certain number of men, represented as 'm', can finish a task in 40 days. However, if there were 15 additional men, the same task would be completed in...
- Working 6 hours a day, Rahul can complete a work in 25 days. How many hours a day should he work to complete the same work in 15 days?
A2 type ‘P’ pipes can fill a tank in 350 hours, while B2 type ‘Q’ pipes can fill the same tank in 504 hours. (10A × 6B) t...
A started a work such that he can complete the whole work in 30 hours. After working for 10 hours, he worked with the rate such that the whole work can ...
4 girls together are as efficient as one man. If 32 girls can complete 40 garments in 5 days, how many men are needed to complete the same work in 2 days?
V and N, working individually, can complete a task in (w – 2) days and (w + 4) days, respectively. N initiated the task alone and was later joined by ...
A and B together can finish a job in ‘x’ days, while A alone takes ‘x + 32’ days to complete it. B alone can finish the job in 90 days. If C is ...
- Pipes A and B can fill a cistern in 48 and 80 minutes respectively. Another pipe C can empty the cistern in 1 hour 36 minutes. A and C are opened first. Af...
'C' can complete a work in 18 days whereas 'D' can do the same work in 30 days.They started working together but 'C' worked with 60% of his efficiency w...
Relevant for Exams:
