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Angle Between Two Lines MCQ Tests

12th Class Math MCQ Tests
Angle Between Two Lines of 12th Class Math has 5 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.

Total Questions: 5
Total Marks: 5
Time: 5 Mins
Total Questions: 5
Total Marks: 5
Time: 5 Mins
5Min : 00 Sec Remaining
Question # 1
Find the angle between the two lines: y = 2 x + 3 ; y = − 3 x + 5.
Question # 2
If A ( − 2 , 1 ) , B ( 2 , 3 ) and C ( − 2 , − 4 ) are three points, fine the angle between the straight lines A B and B C .
Question # 3
A farmer has 200 acres of land suitable for cultivating crops A , B and C . The cost per acre of cultivating crops A , B and C is $ 40 , $ 60 and $ 80 , respectively. The farmer has $ 12 , 600 available for cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours and each acre of crop C requires 40 labor hours. The farmer has a maximum of 5950 labor-hours available. If she wishes to use all of her cultivatable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Formulate but do not solve the problem.
Question # 4
Determine whether the system of linear equations 2 x − 3 y = 12 ; x + 2 y = 6 has a unique solution, infinitely many solutions or no solution. Find all solutions whenever they exist.
Question # 5
Find the acute angle between the lines 7 x − 4 y = 0 and 3 x − 11 y + 5 = 0.
Total Questions
12345
Question # 1
Find the angle between the two lines: y = 2 x + 3 ; y = − 3 x + 5.
Question # 2
If A ( − 2 , 1 ) , B ( 2 , 3 ) and C ( − 2 , − 4 ) are three points, fine the angle between the straight lines A B and B C .
Question # 3
A farmer has 200 acres of land suitable for cultivating crops A , B and C . The cost per acre of cultivating crops A , B and C is $ 40 , $ 60 and $ 80 , respectively. The farmer has $ 12 , 600 available for cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours and each acre of crop C requires 40 labor hours. The farmer has a maximum of 5950 labor-hours available. If she wishes to use all of her cultivatable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Formulate but do not solve the problem.
Question # 4
Determine whether the system of linear equations 2 x − 3 y = 12 ; x + 2 y = 6 has a unique solution, infinitely many solutions or no solution. Find all solutions whenever they exist.
Question # 5
Find the acute angle between the lines 7 x − 4 y = 0 and 3 x − 11 y + 5 = 0.
Total Questions
12345

12th Class 2026

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