The locus of the point `(sqrt(3h),sqrt(3k+2))` if it lies on the line `x-y-1=0` is (a) straight line (b) a circle (c) a parabola (d) none of these

If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a set of four lines (c) a circle (d) None of these

A line of fixed length a+b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of the point which divides this line into portions of length aa n db is (a) an ellipse (b) parabola (c) straight line (d) none of these

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and the line y=0 . If the point (a ,a+1) lies in the interior of the region, then (a) a in (-4,3) (b) a in (-oo,-1) ∪ (3,oo) (c) a in (-1,3) (d) none of these

The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0 (where t is a parameter) is a hyperbola whose eccentricity is: (a) sqrt3 (b) 2 (c) 2/sqrt3 (d) 4/3

The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0 (where t is a parameter) is a hyperbola whose eccentricity is:

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0 , k inR , is a

The slope of the straight line joining the points (sqrt(3),1)and(-3,-sqrt(3)) is -

Distance of origin from the line (1+sqrt3)y+(1-sqrt3)x=10 along the line y=sqrt3x+k (1) 2/sqrt5 (2) 5sqrt2+k (3) 10 (4) 5