Question

If the equation  represents a The Pair of Straight Lines, then the length of intercept on the x-axis cut by the lines is equal to

Solution

Correct option is

4

 

The coordinates of the points of intersection of the pair of lines given by  and x-axis are roots of the equation 

  

  

.

SIMILAR QUESTIONS

Q1

If one of the given by , then cequals

Q2

Area of the triangle formed by the line x + y = 3 and angle bisectors of the pair of the straight lines  is 

Q3

 

If the The Pair of Straight Lines given by   forms an equilateral triangle with the line ax + by + c = 0, then (A + 3B)(3A + B) = 

Q4

 

The area (in square units) of the quadrilateral formed by two pair of the lines  

Q5

The equation  represets

Q6

If the pair of lines  lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of the another sector, then      

Q7

If the equation of the The Pair of Straight Lines passing through (1, 1), one making an angle θ with the positive direction of x-axis and the other making the same angle with the positive direction of y-axis is , then sin 2θ = 

Q8

 

If θ1 and θ2 be the angle which the lines given by

  make with the axis of x, then for

Q9

If the product of the perpendicular drawn from the point (1, 1) on the lines  is 1, then

Q10

Find the equation of the bisectors of the angle between the lines represented by .