Let P and Q be two points on the curves `x^2+y^2=2 and (x^2)/8+y^2/4 =1 ` respectively. Then the minimum value of the length PQ is

Let C_(1) and C_(2) denote the centres of the circles x^(2) +y^(2) = 4 and (x -2)^(2) + y^(2) = 1 respectively and let P and Q be their points of intersection. Then the areas of triangles C_(1) PQ and C_(2) PQ are in the ratio _

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

Let PQ be a diameter of the circle x^(2) + y^(2)=9 If alpha and beta are the lengths of the perpendiculars from P and Q on the straight line, x+y=2 respectively, then the maximum value of alpha beta is ______.

P and Q are any two points on the circle x^(2)+y^(2)=4 such that PQ is a diameter.If alpha and beta are the lengths of perpendiculars from P and Q on x+y=1 then the maximum value of alpha beta is

A point P moves on the ellipse (x^(2))/(4)+(y^(2))/(3)=1 above the x-axis and points Q and R are moving respectively on the circles (x-1)^(2)+y^(2)=1 and (x-1)^(2)+y^(2)=1 below x-axis.Find maximum value of (PQ+PR).

P and Q are two distinct points on the parabola, y^2 = 4x with parameters t and t_1 respectively. If the normal at P passes through Q , then the minimum value of t_1 ^2 is

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is