A random variable X has the following probability distribution then P (X ≥ 2) =?
∫\(\frac {5(x^6+1)}{X+1}\)dx = (where C is a constant of integration.)
If the lines 2x – 3y = 5 and 3x – 4y = 7 are the diameters of a circle of area 154 sq. units, then equation of the circle is (Taken π=\(\frac {22}{7}\))
Two numbers are selected at random from the first six positive integers. If X denotes the larger of two numbers, then Var (X) =?
If xy = e(x – y) , then \(\frac {dy}{dx}\) =?
The second derivative of a sin 3t w.r.t. a cos 3t at t =π/4 is
Argument of \(\frac {1-i√3}{1+i√3}\) is
If the standard deviation of first n natural numbers is 2, then the value of n is
The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
If a, b, c are position vectors of points A, B, C respectively, with 2a + 3b -5c = 0 , then the ratio in which point C divides segment AB is
If a and b are two vectors such that I\(\vec {a}\)I + I\(\vec {b}\)I = \(\sqrt 2\) with \(\vec {a}\).\(\vec {b}\) = –1, then the angle between \(\vec {a}\) and \(\vec {b}\) is
A round table conference is to be held among 20 countries. If two particular delegates wish to sit together, then such arrangements can be done in __________ways.
For three simple statements p, q, and r, p → (q ˅ r) is logically equivalent to
The principal solutions of tan 3θ = –1 are
Let cos (α + β) = \(\frac {4}{5}\) and sin (α - β) = \(\frac {5}{13}\), where 0 < α, β < \(\frac {π}{4}\) , then tan 2α=?
Probability of getting odd numbers in first 100 numbers.
