The numbers `x ,\ doty ,\ z` are proportional to 2, 3, 5. The sum of `x` , `y ,\ z\ i s\ 100` . lf `y\ =\ p x\ -\ 10` , then p is equal to `3/2` b. `2` c. `3` d. `5/2`

Sum of values of p for which, the equations x + y + z = 1, x + 2y + 4z = p and x + 4y + 10z = p^(2) have a solution is a)1 b)2 c)3 d)5

Subtract the sum of 5x - 4y + 6z and -8x + y - 2z from the sum of 12x - y + 3z and -3x + 5y - 8z

The number of solutions of the system of equations: 2x+y-z=7,\ \ x-3y+2z=1,\ \ x+4y-3z=5 is (a) 3 (b) 2 (c) 1 (d) 0

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in A.P. and D=o,\ t h e n\ 2x^2z+x^2z^2 is equal to a. 1 b. 2 c. 3\ d. none of these

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

The number of solutions of the system of equations x+y+z = 4, 2x + 5y – 2z = 3 and x + 7y – 7z = 5, is /are a)0 b)1 c)2 d)infinite