If A : Homogeneous system of linear equations is always consistent. R : x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which of the following statement is true?
Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?
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The pair of linear equations 2x + ky – 3 = 0, 6x + 2/3y + 7 = 0 has a unique solution if –
The pair of linear equations 2kx + 5y = 7, 6x – 5y = 11 has a unique solution if –
The pair of equations 3x + 4y = k, 9x + 12y = 6 has infinitely many solutions if –
The pair of linear equations 2x + 5y = k, kx + 15y = 18 has infinitely many solutions if –
The pair of linear equations 3x + 5y = 3, 6x + ky = 8 do not have any solution if –
The pair of linear equations 3x + 7y = k, 12x + 2ky = 4k + 1 do not have any solution if
8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.
The pair of linear equations kx + 4y = 5, 3x + 2y = 5 is consistent only when –
The pair of linear equations 7x + ky = k, 14x + 2y = k + 1 has infinitely many solutions if –
The pair of linear equations 13x + ky = k, 39x + 6y = k + 4 has infinitely many solutions if –
The pair of linear equations x + y = 3, 2x + 5y = 12 has a unique solution x = x_{1}, y = y_{1} then value of x_{1} is –
The pair of linear equations 3x – 5y + 1 = 0, 2x – y + 3 = 0 has a unique solution x = x_{1}, y = y_{1} then y_{1} =
The pair of linear equations x + 2y = 5, 7x + 3y = 13 has a unique solution,
The pair of linear equations x + 2y = 5, 3x + 12y = 10 has –
If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then the age of the father is –
A fraction becomes 4/5 when 1 is added to each of the numerator and denominator. However, if we subtract 5 from each then it becomes 1/2. The fraction is –
Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of one chair and one table is –
Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is –
The solution of the equations x  y = 2 and x + y = 4 is:
The pairs of equations 9x + 3y + 12 = 0 and 18x + 6y + 26 = 0 have
The pairs of equations x + 2y  5 = 0 and 4x  8y + 20 = 0 have:
If the lines 3x + 2ky – 2 = 0 and 2x + 5y + 1 = 0 are parallel, then what is the value of k?
If one equation of a pair of dependent linear equations is 3x + 5y  2 = 0. The second equation will be:
126 videos477 docs105 tests

CBSE Previous Year Questions: Pair of Linear Equations in Two Variables Doc  21 pages 
PPT: Pair of Linear Equations in Two Variables Doc  33 pages 
NCERT Exemplar: Pair of Linear Equations in Two Variables 2 Doc  10 pages 
Facts that Matter: Pair of Linear Equations in Two Variables Doc  2 pages 
Points to Remember: Pair of Linear Equations in Two Variables Doc  4 pages 
126 videos477 docs105 tests

CBSE Previous Year Questions: Pair of Linear Equations in Two Variables Doc  21 pages 
PPT: Pair of Linear Equations in Two Variables Doc  33 pages 
NCERT Exemplar: Pair of Linear Equations in Two Variables 2 Doc  10 pages 
Facts that Matter: Pair of Linear Equations in Two Variables Doc  2 pages 
Points to Remember: Pair of Linear Equations in Two Variables Doc  4 pages 