wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The equation of a tangent to the parabola y2=8x which makes an angle 45 with the line y=3x+5 is

A
2x+y+1=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
y=2x+1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x+2y+8=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x2y+8=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D x2y+8=0
Equation of tangent in term of slope of
y2=8x is
y=mx+2m(i)
Angle between (i) and y=3x+5 is 45, then
m31+3m=tan45=1±(m3)=1+3m

When m3=1+3m
m=2
When m+3=1+3m
m=12

Now, the equation of tangents are
y=2x1 and y=x2+42x+y+1=0 and x2y+8=0

flag
Suggest Corrections
thumbs-up
18
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon