Home
Class 12
MATHS
The area of the triangle formed by the c...

The area of the triangle formed by the co-ordinate axes and a tangent to the curve `xy=a^(2)` at the point `(x_(1), y_(1))` on it is :

A

`(a^(2)x_(1))/(y_(1))`

B

`(a^(2)y_(1))/(x_(1))`

C

`2a^(2)`

D

`4a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at any point (x_(1), y_(1)) on it is

The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

The equation of the tangent to the curve y^(2)=4ax at the point (at^(2), 2at) is :

Tangents to the curve y=x^(3) at points (1, 1) and (-1, -1) are :

The equation of the tangent to the curve y = x^(3)-2x+1 at the point (1,6) is

Area of the triangle formed by the normal to the curve x = e^(sin y) at (1,0) with the coordinate axes is

Area of the triangle formed by the lines y^(2)-9xy+18x^(2)=0 and y =a is

The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y=1 is

The incentre of the triangle formed by the axes and the line (x)/(4)+(y)/(3)=1 is

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
  1. Let f(x) and g(x) be differentiable for 0 le x le 1 such that f(0)=0,...

    Text Solution

    |

  2. A cannon ball is fired at an angle theta, 0 lt theta lt pi//2, with th...

    Text Solution

    |

  3. The area of the triangle formed by the co-ordinate axes and a tangent ...

    Text Solution

    |

  4. If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has :

    Text Solution

    |

  5. Let f(x) be twice differentiable on [1, 3], and let f(1)=f(3). Further...

    Text Solution

    |

  6. Let f be a real valued function defined on (0, 1) cup (2, 4), such tha...

    Text Solution

    |

  7. If x in (0, pi//2), then :

    Text Solution

    |

  8. The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to X-axis at (0, 0)...

    Text Solution

    |

  9. If log(0.3) (x-1) lt log(0.09) (x-1), then x lies in the interval :

    Text Solution

    |

  10. The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2...

    Text Solution

    |

  11. The length of subtangent to the curve x^(2)+xy+y^(2)=7 at (1, -3) is ...

    Text Solution

    |

  12. The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

    Text Solution

    |

  13. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  14. If the normal to the curve y = f(x) at the point (3, 4) makes an angle...

    Text Solution

    |

  15. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

  16. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  17. The greatest distance of the point P(10, 7) form the circle x^(2)+y^(...

    Text Solution

    |

  18. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  19. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  20. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |