A tower subtends angles respectively at points A, B and C, all lying on a horizontal line through the foot of the tower,then is equal to :
A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ballis drawn from it. Then, the probability for the ball chosen be white, is :
A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X = 3) = 2P(X = 1) and P(X = 2) = 0.3, then P(X = 0) is equal to :
0.1
0.2
0.3
0.4
The co-ordinate axes are rotated through an angle 135°. If the co-ordinates of a point P inthe new system are known to be (4, - 3), then the co-ordinates of P in the original system are :
The point P is equidistant from A(1, 3), B(- 3, 5)and C(5, - 1), then PA is equal to
5
25
D.
On solving Eqs. (iii) and (iv), we get
x = - 8, y = - 10
Now, PA2 = (- 8 - 1)2 + (- 10 - 3)2
= 81 + 169 = 250
If the lines 4x + 3y - 1 = 0, x - y + 5 = 0 and kx + 5y - 3 are concurrent, then k is equal to
4
5
6
7