The equation `vecr^2-2vecr.vecc+h=0, |vecc|gtsqrt(h)` represents
(A) circle
(B) ellipse
(C) cone
(D) sphere

If veca,vecb,vecc are three non coplanar vectors then the vector equation vecr=(1-p-q)veca+pvecb+qvecc are represents a: (A) straighat line (B) plane (C) plane passing through the origin (D) sphere

The equation x^(2) - 2xy +y^(2) +3x +2 = 0 represents (a) a parabola (b) an ellipse (c) a hyperbola (d) a circle

The equation vecr=lamda hati+muhatj represents the plane (A) x=0 (B) z=0 (C) y=0 (D) none of these

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to (a) |veca|^(2)(vecb.vecc) (b) |vecb|^(2)(veca .vecc) (c) |vecc|^(2)(veca.vecb) (d) none of these

If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2 does not exceed (A) 4 (B) 9 (C) 8 (D) 6

Let veca,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are vectors defined by the relations vecp= (vecbxxvecc)/([veca vecb vecc]), vecq= (veccxxveca)/([veca vecb vecc]), vecr= (vecaxxvecb)/([veca vecb vecc]) then the value of the expression (veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr . is equal to (A) 0 (B) 1 (C) 2 (D) 3

If veca,vecb,vecc are unit vectors such that veca is perpendicular to vecb and vecc and |veca+vecb+vecc|=1 then the angle between vecb and vecc is (A) pi/2 (B) pi (C) 0 (D) (2pi)/3

If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vecc|^2+|vecc^2-veca^2|^2 does not exceed (A) 4 (B) 9 (C) 8 (D) 6

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is f^2> c (b) g^2>2 c >0 (d) h=0

The non zero vectors veca,vecb, and vecc are related byi veca=8vecb nd vecc=-7vecb. Then the angle between veca and vecc is (A) pi (B) 0 (C) pi/4 (D) pi/2