Parabola

JEE Main Mathematics · 4 questions

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• Let O be the vertex of the parabola y^2=4 x and its chords OP and OQ are perpendicular to each other. If the locus of the…20268 April, Shift 2 · Q11
• Let chord PQ of length 3 √13 of the parabola y^2=12 x be such that the ordinates of points P and Q are in the ratio 1: 2. If the…20266 April, Shift 1 · Q12
• Let the directrix of the parabola P: y^2=8 x, cut x -axis at the point A. Let B(α, β), α>1, be a point on P such that the slope…20265 April, Shift 2 · Q12
• Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola y^2=16 x. Let the vertex B…20264 April, Shift 2 · Q24