Question

The equation y2 – x2 + 2x – 1 = 0 represents.

Solution

Correct option is

A pair of straight line

 

We have, 

      

  

    

  

Hence, the given equation represents a The Pair of Straight Lines. 

Aliter : Comparing the given equation with ax2 + 2hxy + by2 + 2gx + 2fyc = 0, we get      

       a = –1, b = 1, g = 1, c = –1, f = h = 0    

.

Hence, the given equation represents a The Pair of Straight Lines.

SIMILAR QUESTIONS

Q1

 

The angle between the The Pair of Straight Lines

        

Q2

The pair of lines represented by 3ax2 + 5xy + (a2 – 2)y2 = 0 are perpendicular to each other for 

Q3

 

The angle between the pair of lines represented by 2x2 – 7xy + 3y2 = 0, is   

 

Q4

The angle between the lines represented by , is

Q5

If the angle θ is acute, then the acute angle between 

Q6

If θ is the acute angle between the lines given by x2 – 2pxy + y2 = 0, then,

Q7

If the coordinates axes are the bisectors of the angles between the pair of lines ax2 + 2hxy + by2 = 0, then

Q8

 bisect angles between each other, then

Q9

If the equation  represents a pair of lines, then is equal to

Q10

 

Distance between the pair of lines represented by the equation