Question

The equation x3 + y3 = 0 represents

Solution

Correct option is

None of these

 

We have,  

       

,

where w is a non-real cube root of unity 

  

Hence, the given equation represents one real straight line.

SIMILAR QUESTIONS

Q1

The equation  represents a The Pair of Straight Lines. The distance between them is

Q2

 

Let PQR be a right angled isosceles triangle, right angled at

P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is   

Q3

If the gradient of one of the lines given by  is twice that of the other, then h =  

Q4

The set of values of h for which the equation  represents a pair of real and distinct lines is

Q5

If one of the lines of  is a bisector of angle between the lines xy = 0, then m is

Q6

If one of the lines of the pair  bisects the angle between positive direction of the axes, then ab and h satisfy the relation.

Q7

If the equation  represents two lines inclined at an angle π, then λ =

Q8

If the equation  represents two parallel straight lines, then

Q9

The gradient of one of the lines given by  is twice that of the other, then

Q10

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is