Prove that for all values of m, except zero the straight line
y = mx + touches the parabola y2 = 4ax.
If the tangent to the parabola y = x(2 - x) at the point (1, 1) intersects the parabola at P. Find the coordinate of P.
If an unbiased coin is tossed n times. Find the probability that head appears an odd number of times.
Probability of getting a head in a single trial =
and probability of getting a tail in a single trial =
Now, P(X = odd) = P(X = 1) + P(X = 3) + P(X = 5)
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