Which of the following represent functions? `(a) {(x,y): y^2=4ax,x,yepsilonR} (b){(x,y): y=|x|, x, yepsilonR} (c) {(x,y): x^2+y^2=1,x,yepsilonR} (d.){(x,y):x^2-y^2=1,x,yepsilonR}`

Which of the following are function: {(x , y): y^2=x , x , y in R} b. {(x , y): y=|x|, x , y in R} c. {(x , y): x^2+y^2=1, x , y in R} d. {(x , y): x^2-y^2=1, x , y in R}

Which one of the following is not a function? {(x , y): x , y in R , x^2=y} b. {(x , y): x , y in R , y^2=x} c. {(x , y): x , y in R , x=y^3} d. {(x , y): x , y in R , y=x^3}

Which of the following pair of graphs intersect? y=x^2-x a and y=1 y=x^2-2x and y=sinx y=x^2-x+1 and y=x-4

Which of the following pair of graphs intersect? y=x^(2)-x and y=1y=x^(2)-2x and y=sin xy=x^(2)-x+1 and y=x-4

Which of the following is a homogeneous differential equation? (4 x+6 y+5) d y-(3 y+2 x+4) d x=0 x y d x-(x^3+y^3) d y=0 (x^3+2 y^2) d x+2 x y d y=0 y^2 d x+(x^2-x y-y^2) d y=0

Factorize each of the following algebraic expressions: (1) (x-y)^2+(x-y) (2) 6(a+2b)-4(a+2b)^2 (3) a(x-y)+2b(y-x)+c(x-y)^2 (4) -4\ (x-2y)^2+8(x-2y)

The factors of x^3-1+y^3+3x y are (a) (x-1+y)(x^2+1+y^2+x+y-x y) (b) (x+y+1)(x^2+y^2+1-x y-x-y) (c) (x-1+y)(x^2-1-y^2+x+y+x y) (d) 3(x+y-1)(x^2+y^2-1)

If quad {(x,y):y^(2)=4ax}:B={(x,y):y^(2)=-4ax};c={(x,y):x^(2)=4ay} and D={(x,y):x^(2)=-4ay} Find the number of points in A nn B nn C nn D.

For which of the following, y can be a function of x, (x in R, y in R) ? {:((i) (x-h)^(2)+(y-k)^(2)=r^(2),(ii)y^(2)=4ax),((iii) x^(4)=y^(2),(iv) x^(6)=y^(3)),((v) 3y=(log x)^(2),""):}

For which of the following, y can be a function of x, (x in R, y in R) ? {:((i) (x-h)^(2)+(y-k)^(2)=r^(2),(ii)y^(2)=4ax),((iii) x^(4)=y^(2),(iv) x^(6)=y^(3)),((v) 3y=(log x)^(2),""):}