Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaLine and parabolaHard2 minPYQ_2024

MathematicsHardsingle choice

If the focus of parabola $(y - k)^{2} = 4 (x - h)$ always lies between the lines $x + y = 1$ and $x + y$ $= 3$ then

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Answer:

Solution:

Coordinate of focus will be $(h + 1, k)$ Now focus should lie to the opposite side of origin with respect to line $x + y - 1 = 0$ and same side as origin with respect to line $x + y - 3 = 0$ Hence $h + k > 0$ and $h + k < 2$ .

Stream:BITSATSubject:MathematicsTopic:ParabolaSubtopic:Line and parabola

⏱ 2mℹ️ Source: PYQ_2024

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