" 1."x=2at^(2),y=at^(4)

The area of the triangle formed by two tangents from " (1,1) " to " x^(2)+y^(2)+4x+6y+4=0 " and their chord of contact is :

The solution of differential equation (1+x^(2))y'+2xy=4x^(2)

The solution of differential equation (1+x^(2))y'+2xy=4x^(2)

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1

Find the minimum & maximum values of (x+2)^(2)+(y-1)^(2), if (x-2)^(2)+(y+1)^(2)<=4

Factorise : (1-x^(2))(1-y^(2)) + 4xy