Home
Class 12
MATHS
Statement 1: The number of common tangen...

Statement 1`:` The number of common tangents to the circles `x^(2) + y^(2) =4 ` and `x^(2) + y^(2) -6x - 6y = 24` is 3.
Statement 2 `:` If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.

A

Statement-1 is true, Statement-2 is false

B

Statement-1 : is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement -1

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 are

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

The number of common tangents to the circles x^(2)+y^(2)-y=0and x^(2)+y^(2)+y=0 is

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is