Find the slope and the inclination of the line AB if -i A - -3- -2 and B - 1- 2ii A - 0-3 and B - 3- 0iii A - -1-2-3 and B - -2-3

(i) A = ( 3, 2) and B = (1, 2) Slope of AB = 2+2/1+3=1=tanθ Inclination of line AB = θ nbsp;= 45^∘ (ii) nbsp;A = (0, √(3) ) and B = (3, 0) Slope of AB ...

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Standard IX

Mathematics

Graphical Solution of Equations

Find the slop...

Question

Find the slope and the inclination of the line AB if :

(i) A = (-3, -2) and B = (1, 2)

(ii) A = $(0, - \sqrt{3})$ and B = (3, 0)

(iii) A = $(- 1, 2 \sqrt{3})$ and B = $(- 2, \sqrt{3})$

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Solution

(i) A = (-3, -2) and B = (1, 2)

Slope of AB = $\frac{2 + 2}{1 + 3} = 1 = t a n θ$

Inclination of line AB = $θ$ = $45^{\circ}$

(ii) A = $(0, - \sqrt{3})$ and B = (3, 0)

Slope of AB = = $\frac{0 + \sqrt{3}}{3 - 0} = \frac{1}{\sqrt{3}} = t a n θ$

Inclination of line AB = $θ$ = $30^{\circ}$

(iii) A = $(- 1, 2 \sqrt{3})$ and B = $(- 2, \sqrt{3})$

Slope of AB = = $\frac{\sqrt{3} - 2 \sqrt{3}}{- 2 + 1} = \sqrt{3} = t a n θ$

Inclination of line AB = $θ$ = $60^{\circ}$

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Find the slope and the inclination of the line AB if : (i) A = (-3, -2) and B = (1, 2) (ii) A = (0,−√3) and B = (3, 0) (iii) A = (−1,2√3) and B = (−2,√3)

Find the slope and the inclination of the line AB if :

(i) A = (-3, -2) and B = (1, 2)

(ii) A = $(0, - \sqrt{3})$ and B = (3, 0)

(iii) A = $(- 1, 2 \sqrt{3})$ and B = $(- 2, \sqrt{3})$