Question : At what point does the line $2x–3y = 6$ cuts the Y-axis?

Option 1: (0, 2)

Option 2: (–2, 0)

Option 3: (2, 0)

Option 4: (0, –2)

Question : What is the equation of the line whose y-intercept is 4 and is making an angle of 45° with the positive x-axis?

Option 1: $x+y=–4$

Option 2: $x–y=4$

Option 3: $x+y=4$

Option 4: $x–y= – 4$

Question : The graph of the equation $x=a(a \neq 0)$ is a_____.

Option 1: line parallel to the x-axis

Option 2: line parallel to the y-axis

Option 3: line at an angle of 45 degree to y-axis

Option 4: line at an angle of 45 degree to x-axis

Question : The graphs of the equations
$4 x+\frac{1}{3} y=\frac{8}{3}$ and $\frac{1}{2} x+\frac{3}{4} y+\frac{5}{2}=0$ intersect at a point P. The point P also lies on the graph of the equation:

Option 1: $x + 2y - 5 = 0$

Option 2: $3x - y - 7 = 0$

Option 3: $x - 3y - 12= 0$

Option 4: $4x - y + 7= 0$

Question : If $x^2+y^2=29$ and $xy=10$, where $x>0,y>0$ and $x>y$. Then the value of $\frac{x+y}{x-y}$ is:

Option 1: $- \frac{7}{3}$

Option 2: $\frac{7}{3}$

Option 3: $\frac{3}{7}$

Option 4: $-\frac{3}{7}$