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20. Straight Lines
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Q4 of 169 Page 703

Find the distance of the point (2, 3) from the line y = 4.

Given: Point (2,3) and line y = 4


To find: The distance of the point (2, 3) from the line y = 4


Formula used:


We know that the distance between a point P (m,n) and a line ax + by + c = 0 is given by,


D



The equation of the line is y - 4 = 0


Here m= 2 and n = 3 , a = 0 , b = 1 , c = -4


D


D


D


The distance of the point (2, 3) from the line y = 4 is units


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2

Find the distance of the point (-2, 3) from the line 12x = 5y + 13.

3

Find the distance of the point (-4, 3) from the line 4(x + 5) = 3(y – 6).

5

Find the distance of the point (4, 2) from the line joining the points (4, 1) and (2, 3)

6

Find the length of the perpendicular from the origin to each of the following lines :

(i) 7x + 24y = 50


(ii) 4x + 3y = 9


(iii) x = 4


Questions · 169
20. Straight Lines
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