Home
Class 12
MATHS
If the point P(x, y) be equidistant from...

If the point `P(x, y)` be equidistant from the points `(a+b, b-a) and (a-b, c + b)`, prove that `(a-b)/a+b) = (x-y)/(x+y)`.

A

ax = by

B

bx = ay

C

`x^(2)-y^(2)=2(ax+by)`

D

P can be (a, b)

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If the point P(x, y) be equidistant from the points (a+b, b-a) and (a-b, a + b) , prove that (a-b)/(a+b) = (x-y)/(x+y) .

If the point (x , y) is equidistant from the points (a+b , b-a) and (a-b , a+b) , prove that b x=a y

If the point P(x, y) is equidistant from the points A(a + b, b-a) and B(a-b, a + b). Prove that bx = ay.

If the point P(x ,\ y) is equidistant from the points A(5,\ 1) and B(1,\ 5) , prove that x=y .

Point P(x,y) is equidistant from the points A(-2,0) and B(3,-4) Prove that : 10 x - 8 y = 21.

If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5) , then (a) 5x=y (b) x=5y (c) 3x=2y (d) 2x=3y

If R(x , y) is a point on the line segment joining the points P(a , b)a n dQ(b , a), then prove that x+y=a+b

If R(x , y) is a point on the line segment joining the points P(a , b)a n dQ(b , a), then prove that x+y=a+b

If (x,y) be any point on the line segment joinijng the points (a,0)and (0,b) then prove that x/b+y/b=1.

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is