Home
Class 12
MATHS
A point P is taken on 'L' such that 2/(O...

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

A

`(y-x)^(2)=32`

B

`(y-x)^(2)=64`

C

`(y-x)^(2)=80`

D

`(y-x)^(2)=100`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Example|3 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Given n sraight lines and a fixed point O.A straight line is drawn through O meeting these lines in the points R_(1),R_(2),R_(3),……R_(n) and a point R is taken on it such that n/(OR)= sum_(r=1)^(n) 1/(OR_(r)) , Prove that the locus of R is a straight line .

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O P.O Q=p^2 , then find the locus of the point Qdot

In triangle A B C , a point P is taken on A B such that A P//B P=1//3 and point Q is taken on B C such that C Q//B Q=3//1 . If R is the point of intersection of the lines A Qa n dC P , using vector method, find the area of A B C if the area of B R C is 1 unit

A variable line through the point (1/5,1/5) cuts the coordinate axes in the points A and B. If the point P divides AB internally in the ratio 3: 1, then the locus of P is :

Let O be the vertex and Q be any point on the parabola, x^2=""8y . It the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :

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.

Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x,y) is an arbitrary interior point of triangle moving in such a way that d(P,OA)+d(P,AB)+d(P,OB)=sqrt(3), where d(P,OA),d(P,AB),d(P,OB) represent the distance of P from the sides OA,AB and OB respectively If the point P moves in such a way that d(P,OA)lemin(d(P,OB),d(P,AB)), then the area of region representing all possible position of point P is equal to

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

If events A and B are such that P(A) = 1/3 , P(B) = 1/2 and P(A nn B) = 1/6 , then P (not A and not B) is :

If p+1/p=2 then the value of p^2-1/p^2 is :