3x^(4)-4x^(3)-3x-1quad 6y>=-1

If x^(3)=y^(4) prove that (x/y)^(4/3)+(y/x)^(3/4)=x^(1/3)+y^(-1/4)

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

The equation of the tangents to the circle x^(2)+y^(2)-4x-6y-12=0 and parallel to 4x-3y=1 are

If x^(4) - 3x^(2) - 1 = 0 , then the value of (x^(6)-3x^(2)+(3)/(x^(2))-(1)/(x^(6))+1) is :

3x+2y=1, 6x+4y=

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

Slope of the tangent to the curve y=3x^(4)-4x at x=1 is 6.

If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3))^(2) = 1.

Divide the first polynomial by the second polynomial in each of the following.Also, write the quotient and remainder: 3x^(2)+4x+5,x-2( ii) 10x^(2)-7x+8,5x-35y^(3)-6y^(2)+6y-1,5y-1