Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralEasy2 minPYQ_2024

MathematicsEasynumerical

Let the length of the focal chord PQ of the parabola $y^{2} = 12 x$ be 15 units. If the distance of $PQ$ from the origin is $p$ , then $10 p^{2}$ is equal to _______

Answer:

72.00

Solution:

$length of focal chord = 4 a cosec^{2} θ = 15 12 cosec^{2} θ = 15 sin^{2} θ = \frac{4}{5} tan^{2} θ = 4 tan θ = 2 equation \frac{y - 0}{x - 3} = 2 y = 2 x - 6 2 x - y - 6 = 0 P = \frac{6}{5} 10 p^{2} = 10 \cdot \frac{36}{5} = 72$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: PYQ_2024

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