Let x, y be two variables and x > 0, xy = 1, then minimum value of x + y is
The area of the region bounded by a2y2 = x2 (a2 − x2) is
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Let f(x) = [x2]-[x]2, where [.] denotes the greatest integer function. Then
The equation of the st. line joining the origin to the point of intersection of y - x + 7 = 0 and y + 2x - 2 = 0 is
The point on the straight line y = 2x + 11 which is nearest to the circle 16(x2+y2)+32x−8y−50=0
The third term in the expansion of ((x2) - (1/x3))n is independent of x, when n is equal to
The solution of differential equation (xdy/dx)=y+x2 is
For all real x, the minimum value of (1 - x + x2)/(1 + x + x2) is
The median for the following distribution is
X : 2,3,4,5,6,7,8,9,10,11
Y: 3,6,9,18,20,14,10,10,7,2
In general quadratic equation ax2+2hxy+by2+2fy+2gx+c=0 for eliminating the term xy axes are rotated through an angle θ, tan 2θ =
How many numbers can be formed from the digits 1,2,3,4,3,2,1 so that odd number appears at odd place?
In 324 throws of 4 dice, the expected number of times three sixes occur is
The value of 'a' for which one root of the quadratic equation is twice as large as the other, is
If the nth term of the geometric progression, 5,-(5/2),5/4,-(5/8),...is 5/1024 ,then the value of n is
Sin-1 (cos (sin-1x)) + cos-1 (sin (cos-1x)) is equal to
The differentiation of the function with respect to x is equal to
Equation of normal to the curve y = x(2 - x) at the point (2, 0) is