The parametric equations of a curve are x = sec 2 t y = cot t . If the tangent, drawn to the curve at P ( t = 4 π ) meets the curve again at Q , and if PQ = β α 5 , ( α , β ) = 1 then, the numer

Question

The parametric equations of a curve are $x = sec^{2} t y = cot t$ . If the tangent, drawn to the curve at $P (t = \frac{π}{4})$ meets the curve again at $Q$ , and if $PQ = \frac{α}{β} 5, (α, β) = 1$ then, the numerical value of $α + β$ is

Answer:

5

Solution:

$P = (2, 1), Q = (5, - 1/2) \Rightarrow PQ = \frac{3 5}{2}$

TestHub · Accepted Answer

P = ( 2 , 1 ) , Q = ( 5 , − 1/2 ) ⇒ PQ = 2 3 5 ​ ​

Mathematics - Application of Derivative Question with Solution | TestHub

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