Home
Class 12
MATHS
Tangent is drawn at any point P of a cur...

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

Differential equation of the curve is `3x(dy)/(dx) + y = 0`

B

Differential equation of the curve is `3x(dy)/(dx) - y = 0`

C

Curve is passing through `((1)/(8), 2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - D (Linked Comprehension Type Questions))|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - E (Assertion - Reason Type Questions)|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|40 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

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: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 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 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

Let C be a curve such that the normal at any point P on it meets x-axis and y-axis at A and B respectively. If BP : PA = 1 : 2 (internally) and the curve passes through the point (0, 4), then which of the following alternative(s) is/are correct?

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) 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

AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)
  1. The foci of the curve which satisfies the equation (1+y^(2))dx - xy dy...

    Text Solution

    |

  2. The general solution of the equation, x((dy)/(dx)) = y ln (y/x) is

    Text Solution

    |

  3. The equation of the curve satisfying the differential equation y((d...

    Text Solution

    |

  4. The graph of the function y = f(x) passing through the point (0, 1) an...

    Text Solution

    |

  5. Orthogonal trajectories of the system of curves ((dy)/(dx))^(2) = (a)/...

    Text Solution

    |

  6. A curve has the property that area of triangle formed by the x-axis, t...

    Text Solution

    |

  7. The tangent at any point P of a curve C meets the x-axis at Q whose ab...

    Text Solution

    |

  8. Consider a curved mirror y = f(x) passing through (8, 6) having the pr...

    Text Solution

    |

  9. The differential equation representing all possible curves that cut ea...

    Text Solution

    |

  10. Suppose that a mothball loses volume by evaporation at a rate propo...

    Text Solution

    |

  11. Let x(1-x)\ dy/dx = x-y

    Text Solution

    |

  12. Let a curve passes through (3, 2) and satisfied the differential equat...

    Text Solution

    |

  13. A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^2)/(x^2y...

    Text Solution

    |

  14. Tangent is drawn at any point P of a curve which passes through (1, 1)...

    Text Solution

    |

  15. y=c1 x+c2 sin(2x+c3) (C1, C2, C3 are arbitrary constants)

    Text Solution

    |

  16. Which of the following statements is/are true ?

    Text Solution

    |

  17. A curve passes through (1,0) and satisfies the differential equation (...

    Text Solution

    |