## Set of values of x for which sin-1x>cos-1x is….

Set of values of x for which sin–1x>cos–1x  is

## If  α ,  β  and  γ are the angles which a directed line makes with the positive directions….

If  α ,  β  and  γ are the angles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of  .

## If x is rational and 4 x 2 + 1 x 2 + 1 6 x + 1 x – 5 7 = 0 ,⁡  then va….

If x is rational and 4 x 2 + 1 x 2 + 1 6 x + 1 x – 5 7 = 0 ,⁡  then value of x is equal to

## A vector of magnitude 9 and perpendicular to both the vectors   &   – 2 i ^ + j ^ – 2 ….

A vector of magnitude 9 and perpendicular to both the vectors   &   – 2 i ^ + j ^ – 2 k ^ is:

## The distance between the circumcentre and orthocentre of the triangle whose vertices are (0, 0), (6,….

The distance between the circumcentre and orthocentre of the triangle whose vertices are (0, 0), (6, 8) and (-4, 3) is

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## If the lines  and  intersect, then the value of k is….

If the lines  and  intersect, then the value of k is

## The number of solutions of the equation , where a > 0,  and has least value  is :….

The number of solutions of the equation , where a > 0,  and has least value  is :

## The equations of the tangents of the parabola y2 = 12x, which passes through the point (2,5)…..

The equations of the tangents of the parabola y2 = 12x, which passes through the point (2,5).

## The number of common tangents that can be drawn to the circles x2 + y2 – 4x – 6y – 3 = 0 and x2 + y2….

The number of common tangents that can be drawn to the circles x2 + y2 – 4x – 6y – 3 = 0 and x2 + y2 + 2x + 2y + 1 = 0 is :

## If ∫ 1 + sin x   f x  dx = 2 3 1 + sin x 3 / 2 + c then f  x ….

If ∫ 1 + sin x   f x  dx = 2 3 1 + sin x 3 / 2 + c then f  x is equal to

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