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FCT2013-14_CTY1315(Adv-Normal)_A-LOT_PHASE_II_PCM_I_CPT2-1_SET-A (1)
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P164
This section contains 7 questions. The answer to each of the questions is a single-digit integer, ranging from 0 to 9.
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1.Through the point (9, 5) chords are drawn to the parabola . The locus of the midpoints of the chords is a parabola whose latusrectum is
2.If the roots of quadratic equation lie on either side of unity, then the no. of integral values of p is
3.The number of complex numbers z satisfying and
is/are
4.If for n = 1, 2. 3, ….. then
is equal to
then k is
5.If PSQ is the focal chord of the parabola such that SP = 6, then length of SQ is
6.Consider the equation where a, b, c,
. It is given that x1, x2 and x1x2 are roots of the equation. If
, then x1x2 is equal to
7.Suppose z is a complex number & such that
, then least value of n is
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