lf `r_1` and `r_2` are the distances of points on the curve `10(ZbarZ)-3i(Z^2-(barZ)^2)-16=0` which are at maximum and minimum distance from the origin then the value of `r_1+r_2`

If |z_1| and |z_2| are the distance of points on the curve 5zbarz-2i(z^2-barz^2)-9=0 which are at maximum and minimum distance from the origin, then the value of |z_1|+|z_2| is equal to :

if r_(1) and r_(2) are distances of points on the ellipse 5x^(2)+5y^(2)+6xy-8=0 which are at maximum and minimum distance from the origin then

The minimum distance of a point on the curve y=x^2-4 from origin ,

If there are only two linear functions f and g which map [1,2] on [4,6] and in a DeltaABC, c =f (1)+g (1) and a is the maximum valur of r^(2), where r is the distance of a variable point on the curve x^(2)+y^(2)-xy=10 from the origin, then sin A: sin C is

Let r_1, r_2, r_3 be the three (not necessarily distinct) solution to the equation x^3 + 4x^2 - ax +1 = 0 . If a can be any real number, then find the minimum value of (r_1+1/r_1)^2+(r_2+1/r_2)^2+(r_3+1/r_3)^2 .

Three circles with radius r_(1), r_(2), r_(3) touch one another externally. The tangents at their point of contact meet at a point whose distance from a point of contact is 2 . The value of ((r_(1)r_(2)r_(3))/(r_(1)+r_(2)+r_(3))) is equal to

If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 from its center is r , then r is equal to

Two parallel wires in the plane of the paper are distance X_0 apart. A point charge is moving with speed u between the wires in the same plane at a distance X_1 from one of the wires. When the wires carry current of magnitude I in the same direction, the radius of curvature of the path of the point charge is R_1 In contrast, if the currents I in the two wires have directions opposite to each other, the radius of curvature of the path is R_2 . If (X_0)/(X_1)=3 , the value of (R_1)/(R_2) is

The minimum and maximum distances of a satellite from the center of the earth are 2R and 4R respectively, where R is the radius of earth and M is the mass of the earth . Find (a) its minimum and maximum speeds, (b) radius of curvature at the point of minimum distance.

The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R respectively where R is the radius of earth and M is the mass of the earth find radius of curvature at the point of minimum distance.