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°
Correct Answer: 45°
Solution : Given: $239x-239y+5=0$ $\therefore$ Slope = $\frac{-239}{-239}$ = 1 So, $\tan\theta= 1=\tan 45°$ $\therefore\theta = 45°$ Hence, the correct answer is 45°.
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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 : In a triangle$\frac{AB}{AC}=\frac{BD}{DC}$, $\angle$B = 70° and $\angle$C = 50°, then $\angle$BAD =?
Option 1: 60°
Option 2: 20°
Option 4: 50°
Question : In $\Delta PQR,$ $\angle P : \angle Q : \angle R = 1: 3 : 5$, what is the value of $\angle R - \angle P$?
Option 1: $30^\circ$
Option 2: $80^\circ$
Option 3: $45^\circ$
Option 4: $60^\circ$
Question : $\triangle \mathrm{ABC}$ and $\triangle \mathrm{DEF}$ are two triangles such that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$. If AB = 5 cm, $\angle$B = 40° and $\angle$A = 80°, then which of the following options is true?
Option 1: DF = 5 cm, $\angle$E = 60°
Option 2: DE = 5 cm, $\angle$F = 60°
Option 3: DE = 5 cm, $\angle$D = 60°
Option 4: DE = 5 cm, $\angle$E = 60°
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: $x+ 4y= 0$
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