Home
Class 12
MATHS
If the length of sub-normal is equal to ...

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve `y=f(x)` and the tangent at (3,4) to `y=f(x)` meets the coordinate axes at `Aa n dB` , then the maximum area of the triangle `O A B ,` where `O` is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

A

45/2

B

49/2

C

25/2

D

81/2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

If the length of subnormal is equal to length of subtangent at a point (3,4) on the curve y = f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at A and B, then find the maximum area of the DeltaOBB wherer O is orgin

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P .

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

Determine p such that the length of the sub-tangent and sub-normal is equal for the curve y=e^(p x)+p x at the point (0,1)dot

A variable line through the point P(2,1) meets the axes at a an d b . Find the locus of the centroid of triangle O A B (where O is the origin).

If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 intersects the coordinate axes at P and Q , then the minimum value of the area (in square unit ) of the triangle OPQ is (O being the origin )-

If length of tangent at any point on the curve y=f(x) intercepted between the point and the x-axis is of length 1 . Find the equation of the curve.

Find the lengths of the tangents drawn from the point. (-4,5) to the circle x^(2)+y^(2)=16

Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

If the tangent at any point of the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) meets the coordinate axes in A and B, then show that the locus of mid-points of AB is a circle.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  2. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

    Text Solution

    |

  3. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  4. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  5. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  6. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  7. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

  8. The tangent to the curve y = e ^(kx) at a point (0,1) meets the x-axis...

    Text Solution

    |

  9. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

    Text Solution

    |

  10. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  11. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  12. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  13. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  14. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  15. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  16. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  17. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  18. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  19. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |

  20. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |