Home
Class 12
MATHS
The line 2x+3y=12 meets the x-axis at A ...

The line `2x+3y=12` meets the x-axis at `A` and the y-axis at `B` . The line through (5, 5) perpendicular to `A B` meets the x-axis, y-axis & the line `A B` at `C , D , E` respectively. If `O` is the origin, then the area of the OCEB is `(20)/3s qdotu n i t` (b) `(23)/3s qdotu n i t` `(26)/3s qdotu n i t` (d) `(5sqrt(52))/9s qdotu n i t`

A

`20/3` sq. units

B

`(23)/(3)` sq. units

C

`(26)/(3)`sq. units

D

`(5sqrt(52))/(9)` sq. unit

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

The line 2x+3y=12 meets the coordinates axes at A and B respectively. The line through (5, 5) perpendicular to AB meets the coordinate axes and the line AB at C, D and E respectively. If O is the origin, then the area (in sq. units) of the figure OCEB is equal to

" The line "4x+3y=-12" meets x-axis at the point "

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

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

The line l in Fig14.14 meets X-axis at A(-5,0) and Y-axis at B(0,-3).

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The minimum area of circle which touches the parabolas y=x^2+1 and y^2=x-1 is (9pi)/(16)s qdotu n i t (b) (9pi)/(32)s qdotu n i t (9pi)/8s qdotu n i t (d) (9pi)/4s qdotu n i t

A straight line passing through P(3,1) meets the coordinate axes at Aa n dB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle O A B is equal to (50)/3s qdotu n i t s (b) (25)/3s qdotu n i t s (20)/3s qdotu n i t s (d) (100)/3s qdotu n i t s

The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then the area of the bounded region is (a)200s qdotu n i t s (b) 400s qdotu n i t s (c)800s qdotu n i t s (d) 500s qdotu n i t s

RESONANCE-DPP-QUESTION
  1. We are required to form different words with the help of the word INTE...

    Text Solution

    |

  2. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

    Text Solution

    |

  3. If the point (1+cos theta, sin theta) lies between the region correspo...

    Text Solution

    |

  4. The line 2x+3y=12 meets the x-axis at A and the y-axis at B . The line...

    Text Solution

    |

  5. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

    Text Solution

    |

  6. If the straight lines joining the origin and the points of intersectio...

    Text Solution

    |

  7. Statement-1 :Perpendicular from origin O to the line joining the point...

    Text Solution

    |

  8. The point (11 ,10) divides the line segment joining the points 5,-2 an...

    Text Solution

    |

  9. The algebraic sum of the perpendicular distances from A(x1, y1), B(x2,...

    Text Solution

    |

  10. In a flower bed there are 23 rose plants in the first row, twenty o...

    Text Solution

    |

  11. A committee of 10 is to be formed from 8 teachers and 12 students of w...

    Text Solution

    |

  12. 5 boys & 4 girls sit in a straight line. Find the number of ways in wh...

    Text Solution

    |

  13. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  14. Area of triangle A B C is (in sq. units) (36)/5 (b) (18)/5 (c)...

    Text Solution

    |

  15. The sum of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+..... upto n...

    Text Solution

    |

  16. Find equations of acute and obtuse angle bisectors of the angle betwee...

    Text Solution

    |

  17. If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passe...

    Text Solution

    |

  18. Consider a grid with 8 parallel vertical edges and 9 parallel horizont...

    Text Solution

    |

  19. A insects initially at origin has to move from (0,0) to (6,6). It move...

    Text Solution

    |

  20. Find the number of ways in which the letters A, B, C, D, E, F can be p...

    Text Solution

    |