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# ISI MStat 2015 PSA Problem 18 | Complex Number 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.

## Complex Number - ISI MStat Year 2015 PSA Question 18

The set of complex numbers satisfying the equation represents, in the complex plane

• a straight line
• a pair of intersecting straight lines
• a point
• a pair of distinct parallel straight lines

### Key Concepts

Complex number representation

Straight line

Answer: is a pair of intersecting straight lines

ISI MStat 2015 PSA Problem 18

Precollege Mathematics

## Try with Hints

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.

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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.

## Complex Number - ISI MStat Year 2015 PSA Question 18

The set of complex numbers satisfying the equation represents, in the complex plane

• a straight line
• a pair of intersecting straight lines
• a point
• a pair of distinct parallel straight lines

### Key Concepts

Complex number representation

Straight line

Answer: is a pair of intersecting straight lines

ISI MStat 2015 PSA Problem 18

Precollege Mathematics

## Try with Hints

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.

## Subscribe to Cheenta at Youtube

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