(10)^(2)-4y+1

Assertion (A): The pair of asymtotes of x^(2)/(10)-y^(2)/4=1 and the pair of asymptotes of x^(2)/(10)-y^(2)/4=-1 coincide. Reason (R) : A hyperbola and its conjugate hyperbola posses the same pair of asymptotes. The correct answer is

The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4))y + (10^(4)+ 1) = 0 and 2(10^(4))x + (1 - 10^(4))y + (1 - 3(10^(4))) = 0 . If (5, 6) lies on the curve then which of the following points always lie on f(x):

For any non-zero real value of "m" ,the equation of the parabola to which the line " mx-y+10+m^(2)=0 " is a tangent,is (A) " x^(2)=y-10 (B) " y^(2)=4(x-2) (C) " x^(2)=-4(y-10) (D) x^(2)=-4y

The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse , if

The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse , if

The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse if

The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse , if

Find the coordinates of the limiting points of the system of circles determined by the two cricles x^(2)+y^(2)+5x+y+4=0andx^(2)+y^(2)+10x-4y-1=0

Find the coordinates of the limiting points of the system of circles determined by the two cricles x^(2)+y^(2)+5x+y+4=0andx^(2)+y^(2)+10x-4y-1=0

Find the coordinates of the limiting points of the system of circles determined by the two cricles x^(2)+y^(2)+5x+y+4=0andx^(2)+y^(2)+10x-4y-1=0