x –2y + 4 = 0 is a common tangent to y2= 4x &+= 1. Then the ...
Equation of tangent of ellipse is
y=mx±+ ..............(i)
Given equation is x−2y+4=0 .........(ii)
Since (i) & (ii) are same, comparing them, we get
m=1/2&a2m2 + b2 = 2
⇒4*1/4+b2=4
b=±3
Equation of tangent of parabola
y=mx+1/m .........(iii)
by (i) & (iii)
1/m^2= a2m2+b2
on solving it we get m=±1/2
with m = −1/2 , we get x+2y+4=0
View all questions of this testx –2y + 4 = 0 is a common tangent to y2= 4x &+= 1. Then the ...
Equation of tangent of ellipse is
y=mx±+ ..............(i)
Given equation is x−2y+4=0 .........(ii)
Since (i) & (ii) are same, comparing them, we get
m=1/2&a2m2 + b2 = 2
⇒4*1/4+b2=4
b=±3
Equation of tangent of parabola
y=mx+1/m .........(iii)
by (i) & (iii)
1/m^2= a2m2+b2
on solving it we get m=±1/2
with m = −1/2 , we get x+2y+4=0
x –2y + 4 = 0 is a common tangent to y2= 4x &+= 1. Then the ...
Use Cond Of tangency To find B Then Apply This In Other parts to get right tangent