## Question

### Solution

Correct option is

h = 0

The combined equation of the angle bisectors of lines given by ax2 + 2hxy + by2 = 0, is  It is given that the coordinate axes are the bisectors of the angle between the lines given by ax2 + 2hxy + by2 = 0. So, their combined equation is

xy = 0                                   … (ii)

From (i) and (ii), we get h = 0, a – b ≠ 0.

#### SIMILAR QUESTIONS

Q1

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

Q2

The difference of the tangents of the angles which the lines make with X-axis, is

Q3

The product of perpendiculars let fall from the point (x1y1) upon the lines represented by ax2 + 2hxy + by2, is

Q4

The angle between the The Pair of Straight Lines Q5

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

Q6

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

Q7

The angle between the lines represented by , is

Q8

If the angle θ is acute, then the acute angle between Q9

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

Q10 bisect angles between each other, then