Math, asked by sanjanapachehre26, 1 year ago

please answer this its urgent.
please do fast​

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rajdristant007: of which class is it?
sanjanapachehre26: 10th

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Answered by humanoid1264
3

Draw ON ⊥AB

Therefore, AN = BN

Also we have PT= PA × PB [By tangent secant property] ---- (1)

Consider ΔONA

OA²= ON²+ AN²---- (2)

Similarly inΔPTO

OP²= OT²+ PT²

That is PT² = OP² - OT²

= ON² + PN² - OA²  [Since OA = OT (radii)]

= ON+ PN²  – ON² – AN²

⇒ PT² = PN²– AN²----(3)

From (1) and (3), we get

PA × PB = PN²– AN²

PA × PB=T²


rajdristant007: what is tangents secant property????
humanoid1264: Pls mark it as brainliest
humanoid1264: If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
rajdristant007: what is tangent secant property???? you have taken the prove as a theorem
rajdristant007: ok thanks but that is what we have to prove
humanoid1264: Welcome
Answered by rajdristant007
1
Sorry I have not written Given, to prove and Construction
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