Q. 85.0( 1 Vote )

In ΔABC, and B-X-C. A line passing through X and parallel to intersects in Y. A line passing through X and parallel to intersects in Z. Prove that CY2 = AC • CZ.

Answer :

Given, In ABC, and B-X-C. A line passing through X and parallel to intersects in Y. A line passing through X and parallel to intersects in Z as shown in figure.


To prove : CY2 = AC × CZ


Proof : In ∆ABC, XY || AB


...... (i)


In ∆YBC, XZ || BY


...... (ii)


From eq (i) and (ii)



CY2 = AC × CZ


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