This is a beautiful problem from ISI MSTAT 2015 PSA problem 18 based on complex number. We provide sequential hints so that you can try.
The set of complex numbers 
satisfying the equation 
represents, in the complex plane
Complex number representation
Straight line
Answer: is a pair of intersecting straight lines
ISI MStat 2015 PSA Problem 18
Precollege Mathematics
Simplify the Complex. Just Solve.
Let 
Then the given equation reduces to 
.
Which implies 
.
They do intersect.(?)
Yes! they intersect and to get the point of intersection just use substitution . Hence it gives a pair of intersecting straight lines.
This is a beautiful problem from ISI MSTAT 2015 PSA problem 18 based on complex number. We provide sequential hints so that you can try.
The set of complex numbers satisfying the equation represents, in the complex plane
Complex number representation
Straight line
Answer: is a pair of intersecting straight lines
ISI MStat 2015 PSA Problem 18
Precollege Mathematics
Simplify the Complex. Just Solve.
Let Then the given equation reduces to .
Which implies .
They do intersect.(?)
Yes! they intersect and to get the point of intersection just use substitution . Hence it gives a pair of intersecting straight lines.
