List of top Mathematics Questions on Pair of Linear Equations in Two Variables asked in Bihar Board X

Solve the pair of equations \( \sqrt{2} x + \sqrt{3}y = 0 \) and \( \sqrt{3}x - \sqrt{8}y = 0 \) by the method of substitution or elimination.
The length, breadth, and height of a cuboid are 26 m, 14 m, and 6.5 m, respectively. Find the lateral surface area of the cuboid.
The curved surface area and volume of a cylinder are 264 m\(^2\) and 396 m\(^3\) respectively. Find the radius and height of the cylinder.
The base radius of a cone is \( 7\sqrt{7} \) cm and its height is 21 cm. Find the volume of the cone.
If \( 2a + 3b = 8 \) and \( 3a - 4b = -5 \), then the values of \( a \) and \( b \) are:
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) are:
The graphs of the equations \( 2x + 3y = 4 \) and \( 4x + 6y = 12 \) are which type of straight lines?
How many solutions does the system of linear equations \( 2x - 3y + 1 = 0 \) and \( 3x + y + 2 = 0 \) have?
For what value of \( k \), does the system of equations \( x + 2y = 3 \) and \( 5x + ky = 15 \) have infinite solutions?