Math, asked by sathvikrudam, 2 months ago

prove that the tangents drawn from end of the diameter of a circle are paralle​

Answers

Answered by shreya2155
2

HERE IS UR ANSWER DEAR ✪ ω ✪

ATQ,

PQ AND RS ARE THE TWO TANGENTS TO THE CIRCLE(O,r) AT A AND B RESPECTIVELY.

∴PAB=QAB=RBA=SBA=90°⇒(tangents ⊥ radius)

∵QAB=RBA=90

 PAB=SBA=90

BUT THEY ARE ALTERNATE INTERIOR ANGLES

HENCE PQ║RS(BY ALTERNATE INTERIOR ANGLES AXIOM)

NOTE : IF ALTERNATE INTERIOR ANGLES ARE EQUAL THEN THE LINES ARE PARALLEL❣¯\_(ツ)_/¯

HOPE IT HELPS YOU(☞゚ヮ゚)☞

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