Question

If the slope of one of the lines represented by ax2 + 2hxy + by2 = 0 be the square of the other, then   

Solution

Correct option is

6

 

 

Let m and m2 be the slopes of the lines represented by ax2 + 2hxy + by2 = 0. Then, 

     

  

  

  

  

   

  

       

SIMILAR QUESTIONS

Q1

If the sum of the slopes of the lines given by x2 + 2cxy – y2 = 0 is four times their product, then c has the value

Q2

If the slopes of the lines given by ax2 + 2hxy + by2 = 0 are in the ratio 3 : 1, then h2 =

Q3

If the slope of one line in the pair ax2 + 4xy + y2 = 0 is three times the other, then a =  

Q4

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax2 + 2hxy + by2 = 0, is   

Q5

Equation of The Pair of Straight Lines drawn through (1, 1) and perpendicular to the pair of lines 3x2 – 7xy + 2y2 = 0, is

Q6

The equation to the pair of lines perpendicular to the pair of lines 3x2 – 4xyy2 = 0, is

Q7

If the slope of one of the lines given by ax2 + 2hxy + by2 = 0 is 5 times the other, then

Q8

If the pair of lines ax2 + 2hxy + by2 = 0 and ax2 + 2hxy + by2 = 0 have one line in common, then (ab’ – ab)2 =

Q9

If one of the lines given by ax2 + 2hxy + by2 = 0 may be perpendicular to one of the lines given by ax2 + 2hxy + by2 = 0, then (aa’ – bb’)2 =

Q10

The combined equation of the images of the pair of lines given by ax2 + 2hxy + by2 = 0 in the line mirror y = 0, is