Home
Class 12
MATHS
The area of the ellipse (x^(2))/(a^(2))+...

The area of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` is

A

`piab` sq. units

B

`1/2 piab` sq. units

C

`1/4piab` sq. units

D

`1/3 piab` sq. units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is pi ab

AOB is the positive quadrant of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in which OA=a,OB=b . Then find the area between the arc AB and the chord AB of the ellipse.

Find the area of parallelogram formed by tangents at the extremities of latera recta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The condition that the line y=mx+c may be a secant to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the maximum area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which touches the line y=3x+2

Find the area of the region bounded by the latus recta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the targets to the ellipse drawn at their ends

If the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, is normal at (a cos theta,b sin theta) then eccentricity of the ellipse is

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

the equation of a diameter conjugate to a diameter y=(b)/(a)x of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The area between the latusne latus rectum and tangents drawn at the end points of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. Find the area of the region bounded by the curve y = sin x ...

    Text Solution

    |

  2. The area of smaller part between the circle x^(2)+y^(2)=4 and the line...

    Text Solution

    |

  3. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

    Text Solution

    |

  4. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  5. Find the area bounded by the curve y=x|x|, x-axis and ordinates x=-1 a...

    Text Solution

    |

  6. Find the area bounded by the curve y = 3x + 2, x-axis and ordinate x=-...

    Text Solution

    |

  7. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

    Text Solution

    |

  8. Area bounded by the lines y=2+x, y=2-x and x=2 is (A) 3 (B) 4 (C) 8 (D...

    Text Solution

    |

  9. The area of the region bounded by y=7x+1, y=5x+1 and x=3 is

    Text Solution

    |

  10. For 0 lt= x lt= pi, the area bounded by y = x and y = x + sin x, is

    Text Solution

    |

  11. The area bounded by the curves y^(2)-x=0 and y-x^(2)=0 is

    Text Solution

    |

  12. Find the area included between the curves x^2=4y and y^2=4x.

    Text Solution

    |

  13. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |

  14. Find the area bounded by the curve 4y^2=9x and 3x^2=16 y

    Text Solution

    |

  15. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

    Text Solution

    |

  16. The area bounded by the curves 4y=x^(2) " and " 2y=6-x^(2) is

    Text Solution

    |

  17. The area of the region bounded by the parabola y^(2)=4ax and the line ...

    Text Solution

    |

  18. The area bounded by the parabola x^(2)=2y and the line y=3x is

    Text Solution

    |

  19. Area enclosed between the curve y=x^(2) and the line y = x is

    Text Solution

    |

  20. The area of the region bounded by parabola y^(2)=x and the straight li...

    Text Solution

    |