If the equation x³ + ax² + bx + 216 = 0 has three real roots in G.P.,
Consider the quadratic trinomial f (x) = 2x² – 10px + 7p – 1, where p is a parameter. Find the range of p in the following conditions given in column-I.
Consider a parabola y2 = lx (l > 0) with its vertex at the origin ‘O’.
The greatest positive term of the H.P. whose first two terms are
The domain of definition of the function l(x) = sin–1 (f (x) – g(x)) is equal to
The range of the function k (x)=1+ 1/π (cos-¹ (h(x))+cot-¹(h(x))) is equal to
The value of ‘x’ for which Sn = Cn + Tn , is
The value of Lim_n→∞ (S_n + C_n + T_n) is equal to
If the circle x² + y² – 10x + 2y + c = 0 is orthogonal to S = 0, then the value of c equals
The distance between the points A and B, is
If (dy/dx = (e^y – x)¯¹) where y (0)=0 , then y is expressed explicitly as