In the relation `x > y+z ,\ x+y > p\ a n d\ z < p` which of the following is true? (a) `y > p` (b) `x+y > z` (c) `y+p > x` (d) insufficient data

Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=|y b q x a p z c r|

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

In Fig.71, if A B C D , then the values of x ,\ y\ a n d\ z are x=56 ,\ y=47 ,\ z=77 (b) x=47 ,\ y=56 ,\ z=77 x=77 ,\ y=56 ,\ z=47 (d) x=56 ,\ y=77 ,\ z=47

If x,y,z are in A.P. then : e^(-x), e^(-y),e^(-z) are in (a) A.P (b) G.P (c) H.P (d) no definite sequence

For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. z=0 d. x=y=z=0

If x,y,z are in A.P.then (sin x-sin z)/(cos z-cos x) is equal to tan y(b)cot y(c)sin y(d)cot y