Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2007MathematicsPair of Lines

If the lines x^2+2 x y-35 y^2-4 x+44 y-12=0 and 5 x+ y-8=0 are concurrent, then the value of is

Options

  1. A0
  2. B1
  3. C-1
  4. D2

Correct answer

D. 2

Step-by-step solution

Given line is x^2+2 x y-35 y^2-4 x+44 y-12=0 Here, a=1, b=-35, c=-12, h=1, f=22 , g=-2 Point of intersection is ( h f-b g a b-h^2 , g h-a f a b-h^2 )= ( 22-70 -35-1 , -2-22 -35-1 ) aligned & = ( 48 36 , 24 36 ) & = ( 4 3 , 2 3 ) aligned If the lines are concurrent Then, 5 ( 4 3 )+ ( 2 3 )-8=0 array ll & 2 3 =8- 20 3 & = 24-20 3 3 2 & =2 array

Practice Pair of Lines on Quantrex Academy →

More from Pair of Lines

If the angle made by the lines represented by the equation ax^2 + 2hxy + by^2 = 0 with X-axis are and , then ( + ) is 2026If the equation 16x^2 - 24xy + 9y^2 - 8x + 6y - 35 = 0 represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is.......... 2026If two lines represented by x^2 - (1 + 3 )xy + 3 y^2 = 0 make angles and with the X-axis, then ( + ) is... 2026If the combined equation of angle bisectors of the lines x^2 - 2pxy - y^2 = 0 is x^2 - 2qxy - y^2 = 0 , then which of the following is true? 2026The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by x^2 - 6xy + 5y^2 + 10x - 14y + 9 = 0 is 2026Two lines are given by x^2 - 4xy + 4y^2 + kx - 2ky = 0 , then the value of k so that the distance between them is 3 is 2026If the equation ax^2 + 4xy - 2y^2 + 4x + 8y + 1 = 0 represents a pair of straight lines, then the coordinates of their point of intersection are......... 2026The joint equation of a pair of lines passing through point (1,4) , one of which is parallel to X-axis and the other makes an angle of 45^ with the positive direction of X-axis, is 2026 Full Pair of Lines list All AP EAMCET PYQs