Home
Class 12
MATHS
The number of circles that touch all the...

The number of circles that touch all the 3 lines `2x+y=3`, `4x-y=3`, `x+y=2` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of circles that touch all the straight lines x+y-4=0, x-y+2=0 and y=2 , is

The number of circles that touches all the three lines x+y-1=0, x-y-1=0 and y+1=0 is

Number of circles touching all the lines x+4y+1=0, 2x+3y+3=0 and x-6y+3=0 is

Numebr of circles touching all the lines x+y-1=0, x-y=1=0 and y+1=0 are

Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3x+5y-1=0 is four Statement 2 : In any triangle, four circles can be drawn touching all the three sides of the triangle.

The number of triangles that the four lines y = x + 3, y = 2x + 3, y = 3x + 2, and y + x = 3 form is (a) 4 (b) 2 (c) 3 (d) 1

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=2 (c) x+y=2 (d) none of these

The equation of a circle which touches the line x +y= 5 at N(-2,7) and cuts the circle x^2 + y^2 + 4x-6y + 9 = 0 orthogonally, is

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these