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

The locus of the point (sqrt(3h+2), sqrt(3k)) if (h, k) lies on x+y=1 is : (A) a circle (B) an ellipse (C) a parabola (D) a pair of straight lines

The graph of straight line y = sqrt(3)x + 2sqrt(3) is :

Distance of origin from the line (1+sqrt(3))y+(1-sqrt(3))x=10 along the line y=sqrt(3)x+k

If (x)/(alpha)+(y)/(beta)=1 touches the circle x^(2)+y^(2)=a^(2) then point ((1)/(alpha),(1)/(beta)) lies on (a) straight line (b) circle (c) parabola (d) ellipse

If a DeltaABC remains always similar to a given triangle and the point A is fixed and the point B always moves on a given straight line, then locus of C is (A) a circle (B) a straight line (C) a parabola (D) none of these

The equation sqrt(x^2 + 4y^2 - 4xy+4) +x-2y=1 represent a (A) straight line (B) circle (C) parabola (D) pair of lines

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0,k varepsilon R is a :(1) straight line parallel to x-axis.(2) straight line parallel to y-axis (3) circle of radius sqrt(2)(4) circle of radius sqrt(3)

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

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.