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Question: Angle between the lines 2x – y –15 = 0 and 3x + y + 4 = 0 is-...

Angle between the lines 2x – y –15 = 0 and 3x + y + 4 = 0 is-

A

900

B

450

C

1800

D

600

Answer

450

Explanation

Solution

m1 = 2

m2 = –3

tan q = ± (m1m21+m1 m2)\left( \frac { \mathrm { m } _ { 1 } - \mathrm { m } _ { 2 } } { 1 + \mathrm { m } _ { 1 } \mathrm {~m} _ { 2 } } \right)

tan q = ± [2+31+2(3)]\left[ \frac { 2 + 3 } { 1 + 2 ( - 3 ) } \right]

tan q = ± (–1)

q = 450 or 1350