If `x=10` and `y=0. 1` , which of the following is the greatest? `x^2+y^2` (b) `x^2-y^2` (c) `x^2\ y^2` (d) `(x^2)/(y^2)`

If x=10 and y=0.1, which of the following is the greatest? x^(2)+y^(2)( b) x^(2)-y^(2)( c) x^(2)backslash y^(2) (d) (x^(2))/(y^(2))

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] such that A A^T=I , then which of the following are correct? (A) x+2y=4 (B) x-y=1 (C) x^2+y^2=-3 (D) x^2+y^2=5

If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] such that A A^T=I , then which of the following are correct? (A) x+2y=4 (B) x-y=1 (C) x^2+y^2=-3 (D) x^2+y^2=5

If points A and B are (1, 0) and (0, 1), respectively, and point C is on the circle x^2+y^2=1 , then the locus of the orthocentre of triangle A B C is (a) x^2+y^2=4 (b) x^2+y^2-x-y=0 (c) x^2+y^2-2x-2y+1=0 (d) x^2+y^2+2x-2y+1=0

If points Aa n dB are (1, 0) and (0, 1), respectively, and point C is on the circle x^2+y^2=1 , then the locus of the orthocentre of triangle A B C is (a) x^2+y^2=4 (b) x^2+y^2-x-y=0 (c) x^2+y^2-2x-2y+1=0 (d) x^2+y^2+2x-2y+1=0

(x+y)^3−(x−y)^3 can be factorized as (a) 2y(3x^2+y^2) (b) 2x(3x^2+y^2) (c) 2y(3y^2+x^2) (d) 2x(x^2 +3y^2)

A movable parabola touches the x and the y-axes at (1,0)a n d(0,1) . Then the locus of the focus of the parabola is 2x^2-2x+2y^2-2y+1=0 b. x^2-2x+2y^2-2y+1=0 c. 2x^2-2x+2y^2+2y+2=0 d. 2x^2-2x-2y^2-2y-2=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)