Question

7. If a circle is inscribed
in a quadrilateral, prove
that sum of pair of opposite
sides is equal to the
sum of the other pair.
8. Prove that the argie
between the two tangents
drawn from any external
point to a circle is
supplementary to the angle
subtended by the line
segments forming by
the joining of points of
contact to the centre.
9. Find the length of a
tangent drawn to a circle
with radius 5 cm, from a
point
13 cm away from
centre of circle.
.​

Answer 1

Answer:

Applying the two tangent theorem to each one of these points, we get 4 pairs of equal-size line segments: AP=AS=a; BP=BQ=b; CQ=CR=c and DR=DS=d. And in each of the opposite pairs of sides of the quadrilateral, we have exactly one of these segments, so their sums are equal.S

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre. ... Proof : ∵ The tangent at any point of circle is perpendicular to the radius through the point of contact.

Radius = 5 cm. Tangent drawn from a point 13 cm away from the centre of the circle

Step-by-step explanation:

Answer 2

Answer:

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