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

(i) A = ( 3, 2) and B = (1, 2) Slope of AB = Inclination of line AB = = 45^∘ (ii) A = (0, ) and B = (3, 0) Slope of AB = Inclination of line AB = = 30^∘ ...

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Byju's Answer

Standard X

Mathematics

Slope of a Line

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 = $fraction numerator 2 plus 2 over denominator 1 plus 3 end fraction equals 1 equals tan theta$

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

(ii) A = (0, ) and B = (3, 0)

Slope of AB = $fraction numerator 0 plus square root of 3 over denominator 3 minus 0 end fraction equals fraction numerator 1 over denominator square root of 3 end fraction equals tan theta$

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

(iii) A = (-1, 2) and B = (-2, )

Slope of AB = $fraction numerator square root of 3 minus 2 square root of 3 over denominator negative 2 plus 1 end fraction equals square root of 3 equals tan theta$

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

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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 = $(- 2, \sqrt{3})$