If two lines are intersecting at (4,3) and angle between them is 45∘. If the slope of one line is 2, then the equation(s) of other line is/are
A
3x−y−9=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3x+y−15=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x−3y+5=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x+3y−13=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct options are B3x+y−15=0 Cx−3y+5=0 Let slope of required line =m ⇒tan45∘=∣∣∣m−21+2m∣∣∣ ⇒1=∣∣∣m−21+2m∣∣∣ ⇒1+2m=±(m−2) ⇒m=−3,1/3 Now this lines passes through (4,3),then the equations of lines are : y−3=−3(x−4),y−3=13(x−4) ⇒3x+y−15=0,x−3y+5=0