If `[[2,x+2],[y,-4]]=[[2,0],[-1,-4]]` then `(x,y)` is

If x+y=[[1,4,3] , [-2,5,6] , [7,0,2]] and x-y=[[3,2,5] , [4,1,2] , [1,0,4]] then find x and y

If [(1,4),(2,0)] = [(x,y^(2)),(z,0)] y lt 0 then x-y+z is equal to

Equations of the common tangents to the parabola, y=x^(2) and y=-(x-2)^(2) are [x=0,x=4y-2],[x=0,y=4x-2],[y=0,y=4x+4],[y=0,y=4x-4]

If the circle x^2 + y^2 = a^2 intersects the hyperbola xy=c^2 in four points P(x_1, y_1), Q(x_2, y_2), R(x_3, y_3), S(x_4, y_4) , then : (A) x_1 + x_2 + x_3 + x_4 = 0 (B) y_1 + y_2 + y_3 + y_4 = 0 (C) x_1 x_2 x_3 x_4= c^4 (D) y_1 y_2 y_3 y_4 = c^4

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

Statement 1: The equations of the straight lines joining the origin to the points of intersection of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0 is x-y=0 . Statement 2: y+x=0 is the common chord of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0

For the circle x^(2)+y^(2)-2x-4y-4=0 ,the lines 2x+3y-1=0,2x+y-1=0 are

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

Consider the following equation in x and y : (x-2y-1)^(2)+(4x+3y-4)^(2)+(x-2y-1)(4x+3y-4)=0 How many solutions to (x,y) with x,y real,does the equation have