A system of two linear equations in two variables has infinitely many solutions, if their graphs
The area of the triangle formed by the lines 2x + y = 6, 2x – y + 2 = 0 and the x – axis is
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The system of equations x – 4y = 8, 3x – 12y = 24
The system of linear equations a1x+b1y+c1 = 0 and a2x+b2y+c2 = 0 has a unique solution if
The sum of the numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to 1/3. The fraction is
A system of two linear equations in two variables is consistent, if their graphs
The vertices of the triangle formed by the lines x – y + 1 = 0, 3x + 2y – 12 = 0 and the x – axis are
The pair of equations 5x – 15y = 8 and 3x - 9y = 24/5 has
If x = α and y = β is the solution of the equations x – y = 2 and x + y = 4, then
Half the perimeter of a rectangular garden, whose length is 4m more than its width is 36m. The area of the garden is
A system of two linear equations in two variables is dependentconsistent, if their graphs
One equation of a pair of dependent linear equations is – 5x + 7y = 2, then the second equation can be
The pair of equations x = 2 and y = – 3 has
The solution of px + qy = p – q and qx – py = p + q is
The difference between two numbers is 26 and one number is three times the other. The numbers are
The lines representing the pair of equations 5x – 4y + 8 = 0 and 7x + 6y – 9 = 0
One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can be
The value of ‘k’ so that the system of equations 3x – 4y – 7 = 0 and 6x – ky – 5 = 0 have a unique solution is
The sum of two numbers is 35 and their difference is 13. The numbers are
What will be the solution of these equations ax+by = a-b, bx-ay = a+b
The area of the triangle formed by x + 3y = 6, 2x – 3y = 12 and the y – axis is
The value of ‘k’ so that the system of linear equations kx – y – 2 = 0 and 6x – 2y – 3 = 0 have no solution is
The pair of linear equations ax + by = c and px + qy = r has a unique solution then
The value of ‘a’ so that the point (3, a) lies on the line represented by 2x – 3y = 5 is
124 videos|457 docs|77 tests
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124 videos|457 docs|77 tests
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