First slide

Equation of line in Straight lines

Question

If a pair of perpendicular straight lines drawn through the origin forms an isosceles triangle with the line 2x + 3y = 6, then area of the triangle so formed is

Moderate

A

36/13
B

12/17
C

l3/5
D

17/13

Solution

$The distance of (0, 0) from the line 2 x + 3 y - 6 = 0 is \frac{6}{\sqrt{4 + 9}} = \frac{6}{\sqrt{13}} . The area of the triangle is {(\frac{6}{\sqrt{13}})}^{2} = \frac{36}{13} .$

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