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1)

The angle between lines joining the origin to the point  of intersection of the line 3x+y=2 and the the curve y2x2=4 is 


A) tan123

B) π6

C) tan1(32)

D) π2

Answer:

Option C

Explanation:

On homogenising y2x2=4  with the help of the line 3x+y=2, we get

y2x2=4(3x+y)24

      y2x2=3x2+y2+23xy

   4x2+23xy=0

On comparing with ax2+2hxy+by2=0 .

we get,

  a=4,h=3 and b=0

We know that,

tanθ=2h2aba+b=2304+0

The angle between the lines is 

θ=tan1(32)