First slide

Equation of line in Straight lines

Question

A light ray coming along the line 3x + 4y = 5 gets reflected from the line ax + by = 1 and goes along the line 5x - 12y = 10. Then,

Moderate

A

$a = 64 / 115, b = 112 / 15$
B

$a = 14 / 15, b = - 8 / 115$
C

$a = 64 / 115, b = - 8 / 115$
D

$a = 64 / 15, b = 14 / 15$

Solution

ax + by = 1 will be one of the bisectors of the given lines
Equations of bisectors of the given lines are
$\frac{3 x + 4 y - 5}{5} = \pm (\frac{5 x - 12 y - 10}{13})$
$or 64 x - 8 y = 115$
$or 14 x + 112 y = 15$
$or a = \frac{64}{115}, b = - \frac{8}{115}$
$or a = \frac{14}{15}, b = \frac{12}{115}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App