Question

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 = 

Solution

Correct option is

 

The joint equation of the given lines is  

        

  

Shifting origin at (1, 1) it reduces to

 . Lines represented by this equation make angle  with x-axis.  

  

SIMILAR QUESTIONS

Q1

 

The value of λ for which the lines joining the point of intersection of curves C1 and C2 to the origin are equally inclined to the axis of X.  

        

     

Q2

If one of the lines given by the equation  coincide with one of those given by  and the other lines represented by them be perpendicular, then   

Q3

 

If the pair of lines  have exactly one line in common, then a =

Q4

If one of the given by , then cequals

Q5

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

Q6

 

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) = 

Q7

 

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

Q8

The equation  represets

Q9

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      

Q10

 

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

  make with the axis of x, then for