Home
Class 11
MATHS
The minimum area of the triangle formed ...

The minimum area of the triangle formed by the tangent to `(x^2)/(a^2)+(y^2)/(b^2)=1` and the coordinate axes is (a)`a b` sq. units (b) `(a^2+b^2)/2s qdot""u n i t s` (c)`((a+b)^2)/2s qdot""u n i t s` (d) `(a^2+a b+b^2)/3` sq. units

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2a above the x-axis is (a) pia^2s qdotu n i t s (b) (3pia^2)/2s qdotu n i t s (c) 2pia^2s qdotu n i t s (d) 3pia^2s qdotu n i t s

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight lines x^2-y^2+2y=1 is 2s qdotu n i t s (b) 4s qdotu n i t s 6s qdotu n i t s (d) 8s qdotu n i t s

The area of the triangle formed by the positive x- axis and the normal and tangent to the circle x^2+y^2=4 at (1,sqrt(3)) is (a) 2sqrt(3)s qdotu n i t s (b) 3sqrt(2)s qdotu n i t s (c) sqrt(6)s qdotu n i t s (d) none of these

The minimum length of intercept of any tangent of ellipse x^2/a^2 + y^2/b^2 = 1 between axes is : (A) 2a (B) 2b (C) a+b (D) a-b

The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt=1 2x-1,x >1 and the ascissa axis is (a) (16)/3s qdotu n i t s (b) (10)/3s qdotu n i t s (c) (13)/3s qdotu n i t s (d) 7/3s qdotu n i t s

Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s qdotu n i t s (b) pia^2s qdotu n i t s 3pia^2s qdotu n i t s (d) None of these

The area of the triangle formed by the line x=3,\ \ y=4 and x=y is (a) 1/2 sq. unit \ (b) 1 sq. unit (c) 2 sq. unit (d) None of these

The area of the loop of the curve a y^2=x^2(a-x) is 4a^2s qdotu n i t s (b) (8a^2)/(15)s qdotu n i t s (16 a^2)/9s qdotu n i t s (d) None of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Number of points from where perpendicular tangents can be drawn to the...

    Text Solution

    |

  2. On which curve does the perpendicular tangents drawn to the hyperbola ...

    Text Solution

    |

  3. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  4. Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=...

    Text Solution

    |

  5. P is a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,N is the foot ...

    Text Solution

    |

  6. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  7. Statement 1 : Every line which cuts the hyperbola x^2/4-y^2/16=1 at ...

    Text Solution

    |

  8. Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and ...

    Text Solution

    |

  9. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  10. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  11. Statement 1 : The asymptotes of hyperbolas 3x+4y=2 and 4x-3y=5 are the...

    Text Solution

    |

  12. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  13. Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2...

    Text Solution

    |

  14. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)...

    Text Solution

    |

  15. One the x-y plane, the eccentricity of an ellipse is fixed (in size a...

    Text Solution

    |

  16. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

    Text Solution

    |

  17. Statement 1 : A bullet is fired and it hits a target. An observer i...

    Text Solution

    |

  18. The equation of one directrix of a hyperbola is 2x+y=1, the correspond...

    Text Solution

    |

  19. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

    Text Solution

    |

  20. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |