## If the equation  x³ + ax² + bx + 216 = 0 has three real roots in G.P.,

If the equation  x³ + ax² + bx + 216 = 0 has three real roots in G.P.,

## Consider the quadratic trinomial f (x) = 2×2 – 10px + 7p – 1, where p is a parameter. Find the range of p in the following conditions given in column-I.

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’.

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 Column-I Column-II

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 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 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 ‘x’ for which Sn = Cn + Tn , is

## The value of Lim_n→∞ (S_n + C_n + T_n) is equal to

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

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

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

If (dy/dx = (e^y – x)¯¹) where y (0)=0 , then y is expressed explicitly as

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