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Phrases Previous Year Questions (PYQs)

Phrases Parabola PYQ

Phrases PYQ
A point P in the first quadrant, lies on $y^2 = 4ax$, a > 0, and keeps a distance of 5a units from its focus. Which of the following points lies on the locus of P?





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ
A circle touches the x–axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ
The two parabolas $y^2 = 4a(x + c)$ and $y^2 = 4bx, a > b > 0$ cannot have a common normal unless





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Phrases PYQ
Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is





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Phrases PYQ
The equation of the tangent at any point of curve $x=a cos2t, y=2\sqrt{2} a sint$ with $m$ as its slope is





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ
The locus of the mid-point of all chords of the parabola $y^2 = 4x$ which are drawn through its vertex is





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