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.

Text Solution

Verified by Experts

The correct Answer is:

`x+y=4`

Topper's Solved these Questions

COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|15 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 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.

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-

ARIHANT MATHS-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 4

The equation of the locus of points equidistant from (-1-1) and (4,2...
Text Solution
|
The equation of the locus of a point which moves so that its distance ...
Text Solution
|
If the coordinates of a vartiable point P be (t+(1)/(t), t-(1)/(t)), w...
Text Solution
|
If the coordinates of a variable point be (cos theta + sin theta, sin ...
Text Solution
|
If a point moves such that twice its distance from the axis of x excee...
Text Solution
|
The equation 4xy-3x^(2)=a^(2) become when the axes are turned through ...
Text Solution
|
Transform the equation x^(2)-3xy+11x-12y+36=0 to parallel axes through...
Text Solution
|
Find the locus of a point equidistant from the point (2,4) and the ...
Text Solution
|
Find the equation of the locus of the points twice as from (-a, 0) as ...
Text Solution
|
OA and OB are two perpendicular straight lines. A straight line AB is ...
Text Solution
|
The ends of a rod of length l move on two mutually perpendicular lines...
Text Solution
|
The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) r...
Text Solution
|
What does the equation (a-b)(x^2+y^2)-2a b x=0 become if the origin...
Text Solution
|
The equation x^(2)+2xy+4=0 is transformed to the parallel axes through...
Text Solution
|
Show that if the axes be turned through 7(1^(@))/(2), the equation sqr...
Text Solution
|
Find the angle through which the axes may be turned so that the equati...
Text Solution
|
Transform 12x^(2)+7xy-12y^(2)-17x-31y-7=0 to rectangular axes through ...
Text Solution
|