Home
Class 12
MATHS
C(1) is a circle of radius 2 touching X-...

`C_(1)` is a circle of radius 2 touching X-axis and Y-axis. `C_(2)` is another circle of radius greater than 2 and touching the axes as well as the circle `C_(1)`
Statemnet I Radius of Circle `C_(2)=sqrt2(sqrt2+1)(sqrt2+2)`
Statement II Centres of both circles always lie on the line y=x.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I

B

Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
`:.` Statements I is true and Statements II is always not true (where circles in II of IV quadrants)
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

C_1 is a circle of radius 1 touching the x- and the y-axis. C_2 is another circle of radius greater than 1 and touching the axes as well as the circle C_1 . Then the radius of C_2 is (a) 3-2sqrt(2) (b) 3+2sqrt(2) 3+2sqrt(3) (d) none of these

If a circle of radius 2 touches X-axis at (1,0) then its centre may be

A circle C_1 , of radius 2 touches both x -axis and y - axis. Another circle C_1 whose radius is greater than 2 touches circle and both the axes. Then the radius of circle is (a) 6-4sqrt(2) (b) 6+4sqrt(2) (c) 3+2sqrt(3) (d) 6+sqrt(3)

Equation of the circle of radius sqrt(2) , and touching the line |x-1| =|y-1| , is :

Circle touching y-axis and centre (3,2) is

A circle of radius 2 units is touching both the axes and a circle with centre at (6,5). The distance between their centres is

A circle centre (1,2) touches y-axis. Radius of the circle is

The circle with centre (2,3) touching x-axis has the radius equal to

A circle of radius 2 lies in the first quadrant and touches both the axes. Find the equation of the circle with centre at (6,5) and touching the above circle externally.

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. The locus of the centre of C_(1) is