Ramu also writes the distance formula as
` AB = sqrt((x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2))*` why ?

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

Ramu says the distance of a point P(x.y) from the origin O(0,0) is sqrt(x^(2)+y^(2)) . Do you agree with Ramu or not ? Why ? (AS_(2),AS_(3))

If y = log (x + sqrt(x ^(2) + 1)) then y _(2)(1) =

If x = Sin ^(-1) t, y = sqrt(1- t ^(2)) then (d^(2) y)/(dx ^(2))=

If (x_(1),y_(1)) and (x_(2),y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax then show that x_(1),x_(2)=a^(2),y_(1),y_(2)= -4a^(2)

If (x_(1), y_(1)), (x_(2), y_(2)), (x_(3), y_(3)) are the vertices of an equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)=(x_(3)-2)^(2)+(y_(3)-3)^(2) then x_(1)+x_(2)+x_(3)+2(y_(1)+y_(2)+y_(3))=

If y= log (x + sqrt(x ^(2) -1)) then, y _(2) (sqrt2) =

If y = (x+ sqrt(x ^(2) -1))^(m) then (x ^(2) -1) y_(2) + xy _(1)=

The algebraic sum of the perpendicular distances from A(x_(1),y_(1)),B(x_(2),y_(2)) and C(x_(3),y_(3)) to a variable line is zero, then the line passes through

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) =