Seven balls are drawn simultaneously from a bag containing 5 white and 6 green balls. The probability of drawing 3 white and 4 green balls is :
In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then,the probability that a random sample of 2 pages will contain no error, is :
e - 3
e - 5
e - 1
e - 2
C.
e - 1
The transformed equation of x2 + 6xy + 8y2 = 10 when the axes are rotated through an angle is :
15x2 - 14xy + 3y2 = 20
15x2 + 14xy - 3y2 = 20
15x2 + 14xy + 3y2 = 20
15x2 - 14xy - 3y2 = 20
The lines x - y - 2 = 0, x + y - 4 = 0 and x + 3y = 6 meet in the common point :
(1, 2)
(2, 2)
(3, 1)
(1, 1)
The equation of the line passing through the point of intersection of the lines x - 3y + 2 = 0 and 2x + 5y - 7 = 0 and perpendicular to the line 3x + 2y + 5 = 0 is :
2x - 3y + 1 = 0
6x - 9y + 11 = 0
2x - 3y + 5 = 0
3x - 2y + 1 = 0
Let O be the origin and A be a point on the curve y = 4x. Then the locus of the mid point of OA is :
x2 = 4y
x2 = 2y
y2 = 16x
y2 = 2x
The lines represented by the equation x2 - y2 - x + 3y - 2 = 0 are :
x + y - 1 = 0, x - y + 2 = 0
x - y - 2 = 0, x + y + 1 = 0
x + y + 2 = 0, x - y - 1 = 0
x + y - 1 = 0, x + y - 2 = 0
The centroid of the triangle formed by the pair of straight lines 12x2 - 20xy + 7y2 = 0 and the line 2x - 3y + 4 = 0 is :
If OA is equally inclined to OX, OY and OZ and if A is units from the origin, then A is :
(3, 3, 3)
(- 1, 1, - 1)
(- 1, 1, 1)
(1, 1, 1)
The number of common tangents to the two circles x2 + y - 8x + 2y = 0 and x2 + y2 - 2x - 16y + 25 = 0 is :
1
2
3
4