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Question

If the straight lines joining the origin and the point of the intersection of the curve x2+12xyy2+4x2y+3=0 and x+ky1=0 are equally inclined to x-axis then the value of k is 


Your Answer
A
1
Correct Answer
B
1
Your Answer
C
0
Your Answer
D
2

Solution

The correct option is B 1
x+ky=11=(x+ky)2
Now homogenizing the equation of the curve in order to get the equation of pair of straight lines passsing from origin
x2+12xyy2+(4x2y)(x+ky)+3(x+ky)2=0
both the lines are equally inclined 
coefficient of xy=0
12+4k2+6k=0k=1

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