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)`

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

Which of the following points lie on the parabola x^(2)=4ay?x=at^(2),y=2at b.x=2at,y=at^(2) c.x=2at^(2),y= ast x=2at,y=at^(2)

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n dm vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10 pi ,then the equation of the circle is (A) x^(2)+y^(2)-2x+2y-23=0 (B) x^(2)+y^(2)+2x-2y-23=0 (C) x^(2)+y^(2)+2x+2y-23=0 (D) x^(2)+y^(2)-2x-2y-23=0

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 ABC is x^(2)+y^(2)=4x^(2)+y^(2)-x-y=0x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-2y+1=0

x=2,y=-1 is a solution of the linear equation x+2y=0 (b) x+2y=42x+y=0 (d) 2x+y=5

The equation of the circle touching Y-axis at (0,3) and making intercept of 8 units on the axis (a) x^(2)+y^(2)-10x-6y-9=0 (b) x^(2)+y^(2)-10x-6y+9=0 (c) x^(2)+y^(2)+10x-6y-9=0 (d) x^(2)+y^(2)+10x+6y+9=0

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

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