Find the sums
Class 10 NCERT Maths
Chapter 10
Exercise 10.2
8. A Quadrilateral ABCD is drawn to circumference a circle (see Fig.10.12) . Prove that
AB+CD=AD+BC
In Fig. 10.13, XY and X′Y′ are two parallel tangents to a circle with centre O and
another tangent AB with point of contact C intersecting XY at A and X′Y′ at B. Prove
that ∠ AOB = 90°.
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10.12, using the property that tangents drawn to a circle from a point are equal, we can see
AP=AS
PB=BQ
CR=CQ
DR=DS
Add LHS and RHS
AP+PB+CR+DR=AS+BQ+CQ+DS
AB+CD=AD+BC
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