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Standard XII

Mathematics

Transverse Common Tangent

If two circle...

Question

If two circles intersect at two points, and then the number of common tangents is

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Solution

The correct option is C 2
In this case there will be two common tangent.
because circles cut each other at two points.
So, any third common tangent would not be possible
So, maximum number of tangents is 2.

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Similar questions

Q. The maximum number of common tangents drawn to two intersecting circles at two points is

If two circles intersect at two distinct points, there are ___ tangents that are common to both the circles.

Q. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is

With respect to position of two circles which of the following statements is/are correct?

1. If one circle lies completely outside the other circle,

Number of direct common tangents = 2

Number of transverse common tangents = 2

2. If two circles touch each other externally

Number of direct common tangents = 2

Number of transverse common tangents = 1

3. If two circles touch each other internally

Number of direct common tangents = 1

Number of transverse common tangents = 0

4. If two circles intersect each other at two points

Number of direct common tangents = 2

Number of transverse common tangents = 0

5. If one circle lies completely inside the other circle

Number of direct common tangents = 0

Number of transverse common tangents = 0

With respect to position of two circles which of the following statements is/are correct?

1. If one circle lies completely outside the other circle,

Number of direct common tangents = 2

Number of transverse common tangents = 2

2. If two circles touch each other externally

Number of direct common tangents = 2

Number of transverse common tangents = 1

3. If two circles touch each other internally

Number of direct common tangents = 1

Number of transverse common tangents = 0

4. If two circles intersect each other at two points

Number of direct common tangents = 2

Number of transverse common tangents = 0

5. If one circle lies completely inside the other circle

Number of direct common tangents = 0

Number of transverse common tangents = 0

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If two circles intersect at two points, and then the number of common tangents is

The correct option is C 2In this case there will be two common tangent.because circles cut each other at two points.So, any third common tangent would not be possibleSo, maximum number of tangents is 2.

The correct option is C 2
In this case there will be two common tangent.
because circles cut each other at two points.
So, any third common tangent would not be possible
So, maximum number of tangents is 2.