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

If y=(x^2-3x+1)/(2x^2-3x+2) , where x is real, the value of y lies between (A) -1leyle5/7 (B) -1/2leyle5/7 (C) 5/7ltylt1 (D) none of these

The locus of the centre of the circle passing through (1,1) and cutting x^2 + y^2 = 4 orthogonally is : (A) x+y=3 (B) x+2y=3 (C) 2x+y=3 (D) 2x-y=3

If range of y=x/(1+x^2),AAxepsilonR is equal to (A) [-1,1] (B) [-1/2, 1/2] (C) R-[-1/2,1/2] (D) R-[-1,1]

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 the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersect at two points then (a) 1ltrlt11 (b) r=11 (c) rgt11 (d) 0ltrlt1

If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersect at two points then (a) 1ltrlt11 (b) r=11 (c) rgt11 (d) 0ltrlt1

If x is real, then x//(x^2-5x+9) lies between -1a n d-1//11 b. 1a n d-1//11 c. 1a n d1//11 d. none of these

If x is real, then x//(x^2-5x+9) lies between -1a n d-1//11 b. 1a n d-1//11 c. 1a n d1//11 d. none of these

If AC = 2x - 11 +(50)/( x) , then MC is a) 4x+11 b)4x-11 c)4x-11/x d)none of the above