Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2023MathematicsStraight LinesActual

What is the angle between the two straight lines y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 ?

Options

  1. A60^
  2. B45^
  3. C30^
  4. D15^

Correct answer

A. 60^

Step-by-step solution

The given lines are: y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 Therefore, slope of first line =m₁=2- 3 and slope of second line =m₂=2+ 3 = | m₂-m₁ 1+m₁ m₂ |= | 2+ 3 -2+ 3 1+(4-3) | = | 2 3 2 |= 3 = 3 = 3 =60^

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 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 2021The points (0,7,10),(-1,6,6) and (-4,9,6) form 2021 Full Straight Lines list All BITSAT PYQs