Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.
If x+1 is a factor of 2×3 + ax2 + 2bx + 1, then find the values of a and b given that 2a–3b = 4.
Write an equation of a line passing through the point representing solution of the pair of linear equations
x + y = 2 and 2x – y = 1. How many such lines can we find?
Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by these lines and the y-axis. Also find the area of this triangle.
If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and y/x -2
Write a pair of linear equations which has the unique solution x = – 1, y =3. How many such pairs can you write?
Two straight paths are represented by the equations x – 3y = 2 and –2x + 6y = 5. Check whether the paths cross each other or not.
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