P is a point on the segment joining the feet of two vertical poles of heights a and b. The angles of elevation of the tops of the poles from P are 45° each. Then, the square of the distance between the tops of the poles is
C.
The probability of choosing randomly a numberc from the set {1, 2, 3, . . . , 9} such that the quadratic equation x2 + 4x + c = 0 has real roots is
If m and σ2 are the mean and variance of the random variable X, whose distribution is given by
X = x | 0 | 1 | 2 | 3 |
P(X = x) | 0 |
Then
m = σ2 = 2
m = 1, σ2 = 2
m = σ2 = 1
m = 2, σ2 = 2
If X is a bmomial variate with the range {0, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P(X = 4), then the parameter p of X is
The area (in square unit) of the circle which touches the lines 4x + 3y = 15 and 4x + 3y = 5 is
4
The point on the line 3x + 4y = 5 which is equidistant from (1, 2) and (3, 4) is
(7, - 4)
(15, - 10)
The equanon of the straight line perpendicular to the straight line 3x + 2y = 0 and passing through the point of intersection of the lines x + 3y - 1 = 0 and x - 2y + 4 = 0 is
2x - 3y + 1 = 0
2x - 3y + 3 = 0
2x - 3y + 5 = 0
2x - 3y + 7 = 0
The value of with < 16 such that 2x2 - 10xy + 12y2 + 5x + y - 3 = 0 represents a pair of straight lines, is
- 10
- 9
10
9