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Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.
Since Δ ADF ≅ Δ DFC
∠ADF = ∠CDF
∴ ∠ADC = 2 ∠CDF
Similarly we can prove ∠CEB = 2∠CEF
Since || m
∠ADC + ∠CEB = 180o
⇒2∠CDF + 2∠CEF = 180o
⇒ ∠CDF + ∠CEF = 90o
In Δ DFE
∠DFE = 90o
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Evaluate the slope of the line: Example: What is the slope of the line passing through the points (20, 85) and (30, 125)? Solution: m = 125 -85/30-20 = 4
21-83/4
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What is homomorphism ring
three years ago,Rica was thrice as old as dandy.Three years hence,she will be twice as old.Find their present.
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A 1500 gallon tank primarily holds 600 gallons of water along with 5 lbs of salt dissolved into it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has
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