" (i) "4x^(2)+4y^(2)=25

Find the centre and radius of each of the following circles : 4x^(2) + 4y^(2) = 25

The circle 4x^(2) + 4 y^(2) = 25 cuts the line 3x + 4y - 10 = 0 at A and B. Calculate the coordinates of Aand B.

The line x+14y=25 is the polar of the ellipse x^(2)+4y^(2)=25. Find coordinates of the pole.

Show that the equation of a line passing through the point (11,-2) and touching the circle x^(2)+y^(2)=25 is 3x+4y=25 .

Show that the equation of a line passing through the point (11,-2) and touching the circle x^(2)+y^(2)=25 is 3x+4y=25 .

Consider the family of circles If in the 1st quadrant, the common tangent to a circle of this family and the ellipse 4x^(2)+25y^(2)=100 meets the co-ordinate axes at A and B, then show that the locus of mid point of AB is 4x^(2) + 25y^(2) = 4x^(2)y^(2)

maximum value of log_(5)(3x+4y), if x^(2)+y^(2)=25 is

Factorise : x^(2) + 4y^(2) + 25z^(2) - 4xy + 20 yz - 10 zx

Let a circle S=0 and a line L=0 are represented by x^(2)y+4x^(2)+y^(3)+4y^(2)=25y+100 then the length of chord intercepted by L on s is equal to