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Standard X

Mathematics

Relation between Tangent and Intersecting Line

A circle is e...

Question

A circle is entirely in another circle. then which of the following is correct ?

only one common tangent

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two common tangents

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no common tangent

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infinite number of tangents

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Solution

The correct option is C no common tangent
If one circle is completely inside another circle, then there can not be drawn any common tangents.

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Similar questions

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

Q. For any two circles, the number of direct common tangents will always be greater than number of transverse common tangents.

Q. The radii of two circles are

2

units and

3

units. lf the radical axis of the circles cuts one of the common tangents of the circle in

P

then ratio in which

P

divides the common tangent is

Q. Consider the circle

C : x^{2} + y^{2} - 6 y + 4 = 0

and the parabola

P : y^{2} = x

then

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A circle is entirely in another circle. then which of the following is correct ?

The correct option is C no common tangentIf one circle is completely inside another circle, then there can not be drawn any common tangents.

The correct option is C no common tangent
If one circle is completely inside another circle, then there can not be drawn any common tangents.