Question

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Answer 1

Answer:

answer for the given problem is given

Answer 2

❥︎Concept used :-

• Slope of a line is defined as the tangent of an angle θ which it makes with positive direction of x - axis. It is represented by small 'm' and is given by

$\bf \:m = tanθ$

❥︎Case :- 1.

If m is positive,

$\bf\implies \:tanθ > 0$

$\bf\implies \:0 < θ < \dfrac{\pi}{2}$

❥︎Case :- 2.

If m is negative,

$\bf\implies \:tanθ < 0$

$\bf\implies \:\dfrac{\pi}{2} < θ < \pi$

❥︎Case :- 3.

If m = 0,

$\bf\implies \:tanθ = 0$

$\bf\implies \:θ = 0$

$\bf\implies \:line \: is \: parallel \: to \: x \: axis$

❥︎Case :- 4.

If m = ∞

$\bf\implies \:tanθ = ∞$

$\bf\implies \:θ = \dfrac{\pi}{2}$

$\bf\implies \:line \: is \: parallel \: to \: y \: axis$

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$\bf \:❥︎Answer:- 1$

Line makes acute angle with positive direction of x - axis.

$\bf \:❥︎Answer:- 2$

Line makes obtuse angle with positive direction of x - axis.

$\bf \:❥︎Answer:- 3$

Line is parallel to x - axis.

$\bf \:❥︎Answer:- 4$

Line is parallel to y - axis.

$\bf \:❥︎Answer:- 5$

It means, line makes obtuse angle with positive direction of x - axis.

$\bf \:❥︎Answer:- 6$

It means, line makes acute angle with positive direction of x - axis.

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