Home
Class 12
MATHS
A tangent drawn to the curve y=f(x) at P...

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

equation of curve is `x dy/dx -3y = 0`

B

normal at (1, 1) is x `x+3y = 4`

C

curve passes through `(2, 1/8)`

D

equation of curve is `xdy/dx+3y=0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 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,

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, 1/8 (d) equation of curve is x y^(prime)+3y=0

The line y = x + 1 is a tangent to the curve y^2=4x at the point(A) (1, 2) (B) (2, 1) (C) (1, 2) (D) ( 1, 2)

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/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5, 4)

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The tangent to the curve x^(2) = 2y at the point (1,(1)/(2)) makes with the x-axis an angle of

The curve given by x+y=e^(x y) has a tangent parallel to the y - axis at the point (0,1) (b) (1,0) (c) (1,1) (d) none of these