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

Which of the following algebraic expression are polynomials? (i) x^(1//2)+y^(1//2)+z^(1//2) " "(ii) x^(2)+y^(2) (iii) sqrt(x)+3 sqrt(5)+x^(5) (v) 2016

Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), when: (i ) x=1/2, y=2/3,\ z=-1/5 (ii) x=(-2)/5, y=4/3,\ z=\ (-7)/(10)

The complex numbrs x and y such that x,x+2y,2x+y are n A.P. and (y+1)^2, xy+5, (x+1)^2 are in G.P. are (A) x=3, y=1 (B) x=-1+2sqrt(2)i, y=1/3 (-1+2sqrt(2)i) (C) x=sqrt(2)+i, y=3sqrt(5)-sqrt(2)i (D) x=-1(1+2sqrt(2)i), y= - 1/3 (1+2sqrt(2)i)

The complex numbrs x and y such that x,x+2y,2x+y are n A.P. and (y+1)^2, xy+5, (x+1)^2 are in G.P. are (A) x=3, y=1 (B) x=-1+2sqrt(2)i, y=1/3 (-1+2sqrt(2)i) (C) x=sqrt(2)+i, y=3sqrt(5)-sqrt(2)i (D) x=-1(1+2sqrt(2)i), y= - 1/3 (1+2sqrt(2)i)

Find what the following equation becomes when origin is shifted of the point (1,1) . (i) x^(2) + xy-3y^(2) - y+2=0

Find what the following equations become when the origin is shifted to the point (1,1) ( i) x^(2)+xy-3y^(2)-y+2=0 (ii) xy-y^(2)-x+y=0 (iii) xy-x-y+1=0

Determine whether the following represents a circle , a point or no circle : (i) 1- x^(2) - y^(2) = 0 (ii) x^(2) + y^(2) + 2x + 1 = 0 (iii) x^(2) + y^(2) - 3x + 3y + 10 = 0 .

Find the centre and radius radius of the following circles : (i) (x-1)^(2)+(y+2)^(2)=16 (ii) (x+2)^(2)+y^(2)=25 (iii) (x+p)^(2)+(y+q)^(2)=p^(2)+q^(2) (iv) x^(2)+y^(2)=7

Find the centre and radius radius of the following circles : (i) (x-1)^(2)+(y+2)^(2)=16 (ii) (x+2)^(2)+y^(2)=25 (iii) (x+p)^(2)+(y+q)^(2)=p^(2)+q^(2) (iv) x^(2)+y^(2)=7

Find the co-ordinates of the vertices, the foci, the eccentricity and the length of latus-rectum of the hyperbolas : (a) (x^(2))/(9) -(y^(2))/(16) = 1 (b) (i) 16x^(2) - 9y^(2) = 576 (ii) y^(2) -16x^(2) = 1 (iii) 5y^(2) - 9x^(2) = 36 (iv) 49y^(2) - 16x^(2) = 784 .