Three ships `A ,B ,a n dC` sail from England to India. If the ratio of their arriving safely are 2:5, 3:7, and 6:11, respectively, then the probability of all the ships for arriving safely is a.`18/595` b. `6/17` c. `3/10` d. `2/7`

AB is a diameter of a circle having centre at C , if the coordinates of A and C are (6,-7) and (5,-2) respectively , then the coordinates of B will be -

The sides of the rectangle ABCD are parallel to the coordinate axes. If the coordinates of the vertices B and D be (7,3) and (2,6) respectively , find the coordinates of the vertices A and C .

The centroid of a triangle ABC is at the point (1,1,1) if the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively find the coordinates of the point C

If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD.

If the coordinates of the points A, B and C are (2, 6, 3), (1, 2, 7) and (3, 10, -1) respectively, show by vector method that the points A, B and C are collinear.

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

A bag contains 20 coins. If the probability that the bag contains exactly 4 biased coin is 1/3 and that of exactly 5 biased coin is 2/3 , then the probability that all the biased coin are sorted out from bag is exactly 10 draws is a. 5/(10)(.^(16)C_6)/(.^(20)C_9)+1/(11)(.^(15)C_5)/(.^(20)C_9) b. 2/(33)[(.^(16)C_6+5 .^(15)C_5)/(.^(20)C_9)] c. 5/(33)(.^(16)C_7)/(.^(20)C_9)+1/(11)(.^(15)C_6)/(.^(20)C_9) d. none of these

Find the equation of the plane passing through A(2,2,-1),B(3,4, 2)a n dC(7,0,6)dot

Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Find the point P in the interior of the triangle such that P B C is an equilateral triangle.