[" 1.If "(x+2,4)=(5,y-2)" then "quad 1" point "],[" coordinates "(x,y)" are "^(*)]

If (x+2,4)=(5,y,-2) , then the coordinates (x,y) are ………………

Consider a curve (2x+y-1)^(2)=5(x-2y-3) then the possible coordinates of foci are

The line (x-1)/(2) = (y -2)/(-3) = (z + 5)/(4) meets the plane 2x + 4y -z = 3 at the point whose coordinates are

If the points A(2, 5) and B are symmetrical about the tangent to the circle x^(2)+y^(2)-4x+4y=0 at the origin, then the coordinates of B, are

If the points A(2, 5) and B are symmetrical about the tangent to the circle x^(2)+y^(2)-4x+4y=0 at the origin, then the coordinates of B, are

If A_(1),A_(2),A_(3),…,A_(n) are n points in a plane whose coordinates are (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)),…,(x_(n),y_(n)) respectively. A_(1)A_(2) is bisected in the point G_(1) : G_(1)A_(3) is divided at G_(2) in the ratio 1 : 2, G_(3)A_(5) at G_(4) in the1 : 4 and so on untill all the points are exhausted. Show that the coordinates of the final point so obtained are (x_(1)+x_(2)+.....+ x_(n))/(n) and (y_(1)+y_(2)+.....+ y_(n))/(n)

If A_(1),A_(2),A_(3),…,A_(n) are n points in a plane whose coordinates are (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)),…,(x_(n),y_(n)) respectively. A_(1)A_(2) is bisected in the point G_(1) : G_(1)A_(3) is divided at G_(2) in the ratio 1 : 2, G_(3)A_(5) at G_(4) in the1 : 4 and so on untill all the points are exhausted. Show that the coordinates of the final point so obtained are (x_(1)+x_(2)+.....+ x_(n))/(n) and (y_(1)+y_(2)+.....+ y_(n))/(n)

If the equation x^(2) + y^(2) - 4x - 6y-12=0 is transformed to x^(2) + y^(2) =25 when the axes are transmitted to a point then the new coordinates of (-3,5) are

If (x_1,y_1) and (x_2,y_2) are the end points of a focal chord of the parabola y^2=5x , then 4x_1 x_2+y_1y_2=

If (x_(1), y_(1)) and (x_(2), y_(2)) are the end points of a focal chord of the parabola y^(2) = 5x , then 4x_(1)x_(2) + y_(1)y_(2) =