The area bounded by y = xelxl and lines lxl = 1, y = 0 is,
4 sq units
6 sq units
1 sq unit
2 sq unit
The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is
xdy + ydx = c
The length of longer diagonal of the parallelogram constructed on 5a + 2b and a - 3b, if it is given that and the angle between a and b is , is
15
C.
Given that,
The longer vector is 5a + 2b + a - 3b = 6a - b
Length of one diagonal
Other diagonal is 4a + 5b.
Its length is
If a, b, c are three non-coplanar vectors and p, q, rare reciprocal vectors, then (la + mb + nc) · (lp + mq + nr) is equal to
l + m + n
l3 + m3 + n3
l2 + m2 + n2
None of these
If the integers m and n are chosen at random from 1 to 100, then the probability that a number of the form 7n + 7m is divisible by 5, equals to
Let X denote the sum of the numbers obtained when two fair dice are rolled. The variance and standard deviation of X are