Tangents (Leaving Cert Mathematics): Quizzes

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Tangents
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How many points does a tangent touch a circle at?

Exactly one point

What is the point where a tangent touches the circle called?

The point of contact

What is the relationship between a tangent and the radius at the point of contact?

The tangent is perpendicular to radius

How many tangents can be drawn to a circle at a given point on its circumference?

Only one tangent

How many tangents can be drawn from a point outside a circle?

Two tangents

What is true about the lengths of two tangents drawn from an external point?

They are equal

What is the equation of the tangent to x2+y2=25x^2 + y^2 = 25 at point (3,4)(3, 4)?

3x+4y=253x + 4y = 25

For circle x2+y2=r2x^2 + y^2 = r^2, what is the tangent equation at (x1,y1)(x_1, y_1)?

xx1+yy1=r2xx_1 + yy_1 = r^2

Can two circles share a common tangent?

Yes, internally or externally

What condition is used to find tangents from an external point?

Tangent perpendicular to radius

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