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The locus of the midpoints of the chords of the circle x2y2=16 which are tangents to the hyperbola 9x2−16y2=144 is
In an acute - angled triangle ABC, points D, E and F are the feet of the perpendiculars from A, B and C onto BC, AC and AB, respectively. H is the orthocentre of ∆ABC . If sin A = 3/5 and BC = 39, then the length of AH is:
lf Z=x+iy is a complex number then |x|+|y|≤ ?
Let ω be a cube root of unity not equal to 1. Then the maximum possible value of |a+bω+cω2| where a, b, c ϵ {+1,-1} is:
Number of solutions of the equation |z|2+7z=0 is:
If ω is a cube root of unity but not equal to 1, then minimum value of ∣a+b+cω2∣ (where a,b,ca,b,c are integers but not all equal) is:
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