Home
Class 12
MATHS
OA and OB are two perpendicular straight...

OA and OB are two perpendicular straight lines. A straight line AB is drawn in such a manner that `OA+OB=8`. Find the locus of the mid point of AB.

A

`x^(2)+y^(2)=a+b`

B

`x=(a)/(2)`

C

`x^(2)-y^(2)=a^(2)-b^(2)`

D

`y=(b)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Line AB perpendicular to l is written as

If a pair of perpendicular straight lines drawn through the origin forms an isosceles triangle with the line 2x+3y=6 , then area of the triangle so formed is

An ellipse slides between two perpendicular straight lines. Then identify the locus of its center.

An ellipse slides between two perpendicular straight lines. Then identify the locus of its center.

A point P is taken on 'L' such that 2/(OP) = 1/(OA) +1/(OB) , then the locus of P is

If the foot of the perpendicular from the origin to a straight line is at (3,-4) , then find the equation of the line.

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

AB and CD are two parallel chords of a circle and lines CA and DB intersect each other at O. Show that OA = OB.

AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such that OA=2 and OB=6. Find the area between the arc AB and the chord AB.

If the extremities of a line segment of length l moves in two fixed perpendicular straight lines, then the locus of the point which divides this line segment in the ratio 1 : 2 is-