Question : The graph of the equation $4x-5y=20$ intersects the x-axis at the point.

Option 1: (2, 0)

Option 2: (5, 0)

Option 3: (4, 5)

Option 4: (0, 5)

Question : ΔPQR is right angled at Q such that PQ = ( x - y ), QR = x, and PR = ( x + y ). S is a point on QR such that QS = PQ. The ratio QS : SR for any values of x and y is:

Option 1: 3 : 1

Option 2: 2 : 1

Option 3: 1 : 2

Option 4: 1 : 3

Question : The angle between the graph of the linear equation $239x-239y+5=0$ and the x-axis is:

Option 1: 0°

Option 2: 60°

Option 3: 30°

Option 4: 45°

Question : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$ can be expressed as:

Option 1: $(x+y)^4-x^4$

Option 2: $(x+y)^4-y^4$

Option 3: $(x-y)^4-x^4$

Option 4: $x^4-(x-y)^4$

Question : If $x+y+z=17, x y z=171$ and $x y+y z+z x=111$, then the value of $\sqrt[3]{\left(x^3+y^3+z^3+x y z\right)}$ is:

Option 1: –64

Option 2: 4

Option 3: 0

Option 4: –4