Home
Class 12
MATHS
Let C be the circle with centre at (1, 1...

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) `(sqrt(3))/(sqrt(2))` (2) `(sqrt(3))/2` (3) `1/2` (3) `1/4`

Text Solution

Verified by Experts

in `/_ OO'A`
`(1+y)^2 = (1-y)^2 +1`
`1+y^2 + 2y = 14y^2 - 2y + 1`
`4y = 1`
`y=1/4`
option 4 is correct
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|13 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

10.Let C be the circle with centre at (1,1) and radius 1 If Tis the circle centred at (0, y) passing through origin and touching the circle C externally,then the radius of T is equal to V3 (a) 4

Let C be the circle with centre (1,1) and radius 1. If T is the circle centered at (0,k) passing through origin and touching the circle C externally then the radius of T is equal to (a) (sqrt(3))/(sqrt(2)) (b) (sqrt(3))/(2) (c) (1)/(2) (d) (1)/(4)

1) 1/5 2) 10 3) 10v2 4) 5v2 Let C be the circle with centre at (1,1) and radius -1. If T is the circle centered at (0,y), passing through origin and touching the circle C externally, then the radius of T is equal to 56. 3 2 1) 2) 3) 4)

Find the equation of the circle with centre(-1,-3) and radius sqrt3

Find the equation of the circle with : Centre (1, 1) and radius sqrt(2) .

If the radisu of the circle passing through the origin and touching the line x+y=2 at (1, 1) is r units, then the value of 3sqrt2r is

Equation of circle centred at (2,-3) , and passing through (-1,2) , is

Equation of circle centred at (1,-1) , and passing through (3,2) , is