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Standard X

Mathematics

Construction of Tangent from a Point Outside Circle

The number of...

Question

The number of direct common tangents to two circles that do not touch or intersect is ____.

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Solution

The correct option is D
4

Thus the number of direct common tangents to two non-intersecting circles is four.

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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

Find the number of common tangents when circles are non intersecting, intersecting, externally touching, internally touching to each other.

Q. The number of common tangents that can be drawn to two non-intersecting circles is

Q. Let two circles touch each other externally and

P

is the point of intersection of there direct common tangents. If the direct common tangents from

P

touches the circles at

A

and

B

on same side and

P A = A B = 4

, then the radius of smaller circle (in units) is

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The number of direct common tangents to two circles that do not touch or intersect is ____.

The correct option is D 4 Thus the number of direct common tangents to two non-intersecting circles is four.

The correct option is D
4

Thus the number of direct common tangents to two non-intersecting circles is four.