$CATEGORY: Maths - TicTacLearn/10. Circles/10. Circles--Number of Tangents from a Point on a Circle

//Multiple Choice

How many tangents can be drawn from a point inside a circle? {
     = 0
     ~ 1
     ~ 2
     ~ Infinite
}

How many tangents can be drawn from a point on the circle? {
     ~ 0
     = 1
     ~ 2
     ~ Infinite
}

How many tangents can be drawn from a point outside a circle? {
     ~ 0
     ~ 1
     = 2
     ~ Infinite
}

The two tangents drawn from an external point to a circle are\: {
     ~ Perpendicular
     = Equal in length
     ~ Unequal in length
     ~ Parallel
}

If a tangent is drawn to a circle from an external point, it touches the circle at\: {
     ~ Two points
     ~ Three points
     = One point
     ~ No point
}

The radius of a circle is perpendicular to the tangent at the\: {
     ~ External point
     = Point of contact
     ~ Center of the circle
     ~ Chord of the circle
}

If the radius of a circle is 5 cm and the distance of an external point from the center is 13 cm, then the length of the tangent is\: {
     ~ 10 cm
     = 12 cm
     ~ 13 cm
     ~ 15 cm
}

//True or False

A tangent to a circle intersects the circle at two points. {F}

A tangent is always perpendicular to the radius at the point of contact. {T}

From a point inside a circle, exactly one tangent can be drawn. {F}

From a point outside a circle, two tangents can be drawn. {T}

The two tangents drawn from an external point to a circle are always equal in length. {T}

A secant is the same as a tangent. {F}

A circle can have infinitely many tangents. {T}

//Numericals



//Fill in the blanks

A tangent to a circle is a straight line that touches the circle at _____ point(s). {
     = One
     ~ Two
     ~ Three
     ~ Infinite
}

From a point inside a circle, _____ tangents can be drawn to the circle. {
     = Zero
     ~ One
     ~ Two
     ~ Three
}

From a point outside a circle, _____ tangents can be drawn to the circle. {
     ~ Zero
     ~ One
     = Two
     ~ Infinite
}

The two tangents
     drawn from an external point to a circle are always _____ in length. {
     = Equal
     ~ Unequal
     ~ Perpendicular
     ~ Parallel
}

The angle between the radius and the tangent at the point of contact is always _____ degrees. {
     ~ 30
     ~ 60
     = 90
     ~ 120
}

A tangent to a circle is always _____ to the radius at the point of contact. {
     ~ Parallel
     = Perpendicular
     ~ Equal
     ~ Diagonal
}

The shortest distance from a point outside the circle to the circle is along the _____. {
     ~ Radius
     ~ Chord
     ~ Tangent
     = Perpendicular line to the center
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Tangent to a circle -> Touches the circle at one point
=Point inside the circle -> No tangent possible
=Point on the circle -> One tangent possible
=Point outside the circle -> Two tangents possible
=Angle between radius and tangent -> 90°
}

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