[" (c) "3A+6B=2/3],[" 83.A tangent to the curve,"y=f(x)" at "P(x,y)" meets "],[x" -axis at "A" and "y" -axis at "B" .If "AP:BP=1:3" and "],[f(1)=1" ,then the curve also passes through the "],[" point "],[[" (a) "((1)/(2),4)," (b) "((1)/(3),24),]]

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

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

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: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 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-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

If a curve passes through the point (1,-2) and has slope of the tangent at any point (x, y) on it as (x^2_2y)/x , then the curve also passes through the point - (a) (sqrt3,0) (b) (-1,2) (c) (-sqrt2,1) (d) (3,0)

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 the tangent t the curv y=f(x )"at" P(x_(1),y_(1)) is paralle to the y-axis, then the of the normal to the curve at P is -