Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2020MathematicsStraight LinesActual

A straight rod of length 9 units slides with its endsA, B always on the X and Y-axis respectively. Then the locus of the centroid of OAB is:

Options

  1. Ax²+y²=3
  2. Bx²+y²=9
  3. Cx²+y²=1
  4. Dx²+y²=81

Correct answer

B. x²+y²=9

Step-by-step solution

Let end A is (a, 0) and end B is (0, b) then a ²+ b ²=81 If centroid is (x, y) then x = a 3 , y = b 3 , putting in (1) we get the locus as x²+y²=9

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