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Phrases Previous Year Questions (PYQs)

Phrases Parabola PYQ

Phrases PYQ 2023
A point P in the first quadrant, lies on y2=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 2023
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 2024
The two parabolas y2=4a(x+c) and y2=4bx,a>b>0 cannot have a common normal unless





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Phrases Previous Year PYQPhrases NIMCET 2024 PYQ

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Phrases PYQ 2022
Coordinate of the focus of the parabola 4y2+12x−20y+67=0 is





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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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Phrases PYQ 2014
An equilateral triangle is inscribed in the parabola y2=4ax, such that one of the vertices of the triangle coincides with the vertex of the parabola. The length of the side of the triangle is:





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Phrases Previous Year PYQPhrases NIMCET 2014 PYQ

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Phrases PYQ 2015
The locus of the mid points of all chords of the parabola y2=4x which are drawn through its vertex, is





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Phrases Previous Year PYQPhrases NIMCET 2015 PYQ

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Phrases PYQ 2014
If x=1 is the directrix of the parabola y2=kx−8, then k is:





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Phrases Previous Year PYQPhrases NIMCET 2014 PYQ

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Phrases PYQ 2014
A normal to the curve x2=4y passes through the point (1, 2). The distance of the origin from the normal is





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Phrases Previous Year PYQPhrases NIMCET 2014 PYQ

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Phrases PYQ 2023
The equation of the tangent at any point of curve x=acos2t,y=2√2asint with m as its slope is





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ 2023
The locus of the mid-point of all chords of the parabola y2=4x which are drawn through its vertex is





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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