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)
Correct Answer: (5, 0)
Solution : $4x-5y=20$ intersects the x-axis. $\therefore y = 0$ Putting $y=0$ in the given equation, we get, $4x-0 = 20$ $\therefore x = 5$ Hence, the correct answer is (5, 0).
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Question : The linear equation such that each point on its graph has an ordinate four times its abscissa is:
Option 1: $y+ 4x= 0$
Option 2: $y = 4x$
Option 3: $x = 4y$
Option 4: $x+ 4y= 0$
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 : The LCM of $x^2-8x + 15$ and $x^2-5x + 6$ is:
Option 1: $(x-2)(x-3)^2(x-5)$
Option 2: $(x + 5) (x + 2) (x + 3)$
Option 3: $(x + 5) (x - 2) (x - 3)$
Option 4: $(x - 5) (x - 2) (x - 3)$
Question : If $x:y=3:4$, then $4x+5y:5x–2y=?$
Option 1: $7:32$
Option 2: $32:7$
Option 3: $4:3$
Option 4: $5:2$
Question : If $x^4+x^{-4}=47, x>0$, then what is the value of $x+\frac{1}{x}-2?$
Option 1: 1
Option 2: 0
Option 3: 5
Option 4: 3
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