If `x-y=2 and 2/(x+y)` =`1/5`then

If 3x+2y=3 and 2x+5y=1 are conjugate lines w.r.t the circle x^(2)+y^(2)=r^(2) then r^(2)=

If x = 2 and y = 1, Find the value of (-4x^(2)y^(3)) xx (-5x^(2)y^(5)) .

If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))/(5) + ….oo))/((x + (x^(3))/(3) + (x^(5))/(5) + ……oo)) =

The graphs of y=2x-5 and x + 3y=-1 intersect at

The equation to the chord joining two points (x_1,y_1) and (x_2,y_2) on the rectangular hyperbola xy=c^2 is: (A) x/(x_1+x_2)+y/(y_1+y_2)=1 (B) x/(x_1-x_2)+y/(y_1-y_2)=1 (C) x/(y_1+y_2)+y/(x_1+x_2)=1 (D) x/(y_1-y_2)+y/(x_1-x_2)=1

If x^3-2x^2y^2+5x+y-5=0 and y(1)=1 , then (a) y^(prime)(1)=4/3 (b) y'(1)=-4/3 (c) y''(1)=-8(22)/(27) (d) y^(prime)(1)=2/3

Solve for x and y : 2^(y-x) (x + y) = 1 and (x + y)^(x - y) = 2 .

Find (x+y)+(x-y), if x=2/3, y=3/2 (ii) x=2/5, y=1/2

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0