Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2014MathematicsStraight LinesActual

The value of , for which the lines 3 x-4 y=13,8 x-11 y=33 and 2 x-3 y+ =0 are concurrent is

Options

  1. A-1
  2. B-7
  3. C1 7
  4. D9

Correct answer

B. -7

Step-by-step solution

For concurrency of 3 lines the determinant of coefficients of equations should be 0 . i.e. | array ccc 3 & -4 & -13 8 & -11 & -33 2 & -3 & array |=0 3(-11 -99)+4(8 +66)-13(-24+22)=0 -33 -297+32 +264+312-286=0 - -583+576=0 =-7

Practice Straight Lines on Quantrex Academy →

More from Straight Lines

The locus of the point of intersection of the lines x=a ( 1-t^2 1+t^2 ) and y= 2 a t 1+t^2 represent (t being a parameter) 2024If the straight line 2 x+3 y-1=0, x+2 y-1=0 and a x+b y-1=0 form a triangle with origin as orthocentre, then (a, b) is equal to 2024The distance from the origin to the image of (1 , 1) with respect to the line x+y+5=0 is 2024If (-4,5) is one vertex and 7 x-y+8=0 is one diagonal of a square, then the equation of second diagonal is 2023The coordinates of the foot of the perpendicular from the point (2,3) on the line x+y-11=0 are 2023What is the angle between the two straight lines y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 ? 2023If the coordinates of the points A and B be (3,3) and (7,6) , then the length of the portion of the line AB intercepted between the axes is 2023The distance between the parallel lines 3 x-4 y+7=0 and 3 x-4 y+5=0 is a b . Value of a+b is 2021 Full Straight Lines list All BITSAT PYQs