Let be the set of all such that the area of the triangle formed by the tangent at the point , on the parabola and the lines is , then is equal to

146 Explanation: Parabola ka Solution 1. Point parabola par hai: 2. Area of Triangle: Vertices aur se banne waale triangle ka area: 3. ki possible values ( ): Humein ko natural numbers ( ) rakhna hai: Case 1: Agar , toh . Case 2: Agar , toh . Case 3: Agar , toh . (Baaki cases jaise mein natural number nahi aayega). 4. Final Sum: Answer: 146

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $S$ be the set of all $a \in \mathbb{N}$ such that the area of the triangle formed by the tangent at the point $P(b,c), b, c \in \mathbb{N}$ , on the parabola $y^2 = 2ax$ and the lines $x = b, y = 0$ is $16 \text{ unit}^2$ , then $\sum_{a \in S} a$ is equal to

JEE 2023 — Mathematics PYQ

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Explanation

Parabola $y^2 = 2ax$ ka Solution

Explanation

Parabola $y^2 = 2ax$ ka Solution

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