Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2024MathematicsStraight LinesActual

The distance from the origin to the image of (1 , 1) with respect to the line x+y+5=0 is

Options

  1. A7 2
  2. B3 2
  3. C6 2
  4. D4 2

Correct answer

C. 6 2

Step-by-step solution

As we know that the image of (1,1) with respect to line x+y+5=0 is x-1 1 = y-1 1 = 2(1+1+5) 1+1 x-1=-7, y-1=-7 x=-6, y=-6 Image of point (1,1) is (-6,-6) Now, distance from origin This is the required transformed equation. D= (0+6)^2+(0+6)^2 D= 72 =6 2

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