A tangent drawn to the curve `y=f(x)` at `P(x,y)` cuts the x-axis and y-axis at `A` and `B` respectively such that `BP:AP=2:1`. Given that `f(1)=1`. Answer the question:The curve passes through the point (A) `(2,1/4)` (B) `(2,1/2)` (C) `(2,1/8)` (D) none of these

A tangent drawn to the curve y=f(x) at P(x,y) cuts the x-axis and y-axis at A and B respectively such that BP:AP=2:1 . Given that f(1)=1 . Answer the question:Equation of normal to curve at (1,1) is (A) x-4y+3=0 (B) x-3y+2=0 (C) x-2y+1=0 (D) none of these

A tangent drawn to the curve y=f(x) at P(x,y) cuts the x-axis and y-axis at A and B respectively such that BP:AP=2:1 . Given that f(1)=1 . Answer the question:Equation of curve is (A) y=1/x (B) y=1/x^2 (C) y=1/x^3 (D) none of these

A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes at A and B, respectively, such that AP : PB = 1 : 3. If f(1) = 1 then the curve passes through (k,(1)/(8)) where k is

Tangent is drawn at any point P of a curve which passes through (1,1) cutting x -axis and y -axis at A and B respectively.If AP:BP=3:1, then

If f'(x)=x-1, the equation of a curve y=f(x) passing through the point (1,0) is given by

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis and the y-axis in point A AND B, respectively,such that (1)/(OA)+(1)/(OB)=1, where O is the origin.Find the equation of such a curve passing through (5,4)

A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts the x-axis and y-axis at A and B , respectively, such that B P : A P=3, then (a) equation of curve is x y^(prime)-3y=0 (b) normal at (1,1) is x+3y=4 (c) curve passes through 2, 8 (d) equation of curve is x y^(prime)+3y=0

A curve y=f(x) passes through (1,1) and tangent at P(x,y) on it cuts x- axis and y-axis at A and B respectively such that BP:AP=3:1 then the differential equation of such a curve is lambda xy'+mu y=0 where ( mu + lambda -lambda^(2) ) / (mu - 2 lambda) is . Where mu and lambda are relatively prime natural

A normal is drawn at a point P(x,y) on a curve.It meets the x-axis and thedus ofthe director such that (x intercept) ^(-1)+(y- intercept) ^(-1)=1, where O is origin,the curve passing through (3,3).