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Q1.

Suppose AB is a chord of the parabola y2 = 4ax with vertex at A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is

Q2.

The eccentricity of the conic represented by x^{2} - y^{2} - 4x + 4y + 16 = 0

Q3.

Eight chair are numbered 1 to 8. Two women and three men are wish to occupy one chair each. First the women choose chairs from amongst the chairs marked 1 to 4; and the men select from amongst the remaining. The number of possible arrangement is

Q4.

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of second set. The values of m and n are:

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