The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
Argument of \(\frac {1-i√3}{1+i√3}\) 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.
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=?
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 \(\frac {dy}{dx}\) =?
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=\(\frac {22}{7}\))
The second derivative of a sin 3t w.r.t. a cos 3t at t =π/4 is
Probability of getting odd numbers in first 100 numbers.