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Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaTangent to hyperbolaEasy2 minQB

MathematicsEasyinteger

Let PN be the ordinate of a point P on the hyperbola $\frac{x ^{2}}{( 97 ) ^{2}} - \frac{y ^{2}}{( 79 ) ^{2}} = 1$ and the tangent at P meets the transverse axis in $T, O$ is the origin. Then $[\frac{ON . OT}{2011}]$ is equal to (where [.] denotes G.I.F)

Answer:

Solution:

ON.OT $= 97 cos θ .97 sec θ = 9 7^{2}$

$∴ [\frac{ON \cdot OT}{2011}] = [\frac{9 7 ^{2}}{2011}] = 4$

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:Tangent to hyperbola

⏱ 2mℹ️ Source: QB

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