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If the acute angle formed between y -axis and the tangent drawn to the curve y = x 2 + 4 x - 17 at the point P 5 2 , - 3 4 is θ , then the value of cot ⁡ θ is equal to

Correct answer

9

Step-by-step solution

y ′ = 2 x + 4 At P , d y d x = 5 + 4 = 9 = tan ⁡ α As θ = π 2 - α ⇒ cot ⁡ θ = tan ⁡ α = 9

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