[1 Mark Questions]

Question 11 Mark

Find the slope of the line which is parallel to y = 0.7x – 11

Answer

y = 0.7x – 11
Slope = 0.7 ...(Comparing with y = mx + c)

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Question 21 Mark

Find the slope of the line which is perpendicular to the line x = – 11

Answer

Perpendicular to the line x = – 11
Slope is undefined ...(Since the line is intersecting the X-axis)

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Question 31 Mark

Find the slope of the following straight line
5y – 3 = 0

Answer

$\begin{aligned} & 5 y-3=0 \\ & 5 y=3 \\ & \Rightarrow y=\frac{3}{5} \\ & \text { Slope }=0\end{aligned}$

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Question 41 Mark

Find the slope of the following straight line
$
7 x-\frac{3}{17}=0
$

Answer

$7 x-\frac{3}{17}=0 \quad \ldots($ Comparing with $y = mx + c )$
$
7 x=\frac{3}{17}
$
Slope is undefined

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Question 51 Mark

Find the slope of a line joining the points $(5, \sqrt{5})$ with the origin

Answer

The given points is $(5, \sqrt{5})$ and $(0,0)$
$
\begin{aligned}
& \text { Slope of a line }=\frac{y_2-y_1}{x_2-x_1} \\
& =\frac{0-\sqrt{5}}{0-5} \\
& =\frac{\sqrt{5}}{5} \\
& =\frac{1}{\sqrt{5}}
\end{aligned}
$

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Question 61 Mark

Find the slope of a line joining the points
(sin θ, – cos θ) and (– sin θ, cos θ)

Answer

The given points is $(\sin \theta,-\cos \theta)$ and $(-\sin \theta, \cos \theta)$
$
\begin{aligned}
& \text { Slope of a line }=\frac{y_2-y_1}{x_2-x_1} \\
& =\frac{\cos \theta+\cos \theta}{-\sin \theta-\sin \theta} \\
& =\frac{2 \cos \theta}{-2 \sin \theta} \\
& =-\cot \theta
\end{aligned}
$

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Question 71 Mark

What is the inclination of a line whose slope is 0

Answer

m = 0
tan θ = 0
⇒ θ = 0°

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Question 81 Mark

What is the inclination of a line whose slope is 1

Answer

m = 1
⇒ tan θ
= tan 45°
⇒ 0 = 45°

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Question 91 Mark