If x real and `y= (x^2-x+3)/(x+2)`, then (A) `yge1` (B) `yge11` (C) `yle-11` (D) `-11ltylt1`

If y=sin^2 theta+cosec^2 theta, theta!=0, then (A) y=0 (B) yle2 (C) yge-2 (D) yge2

Maximize Z=x+2y , when, xge2, yge3 and x+yle10

Foot of the perpendicular form (-2,1,4) to a plane pi is (3,1,2). Then the equation of theplane pi is (A) 4x-2y=11 (B) 5x-2y=10 (C) 5x-2z=11 (D) 5x+2z=11

If x+ (1)/(x)=2 , find x^(11) + (1)/(x^(11))= ?

If x+ (1)/(x)= -2 , find x^(11) + (1)/(x^(11)) = ?

If x is real,then x/(x^(2)-5x+9) lies between -1 and -1/11 b.1 and -1/11 c. 1and1/11d.none of these

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

If y = sin^(-1) x then x belongs to the interval: (a) (0,pi) (b) (-1,1) (c) [-1,1] (d) [0,pi]