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 `AB` 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
(a) `(20)/3 sq unit`
(b) `(23)/3 sq unit`
(c) `(26)/3 sq unit`
(d) `(5sqrt(52))/9 sq unit`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|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 area enclosed by 2|x|+3|y|<=6 is (a) 3 sq.units (b) 4 sq.units (c)12 sq.units (d) 24 sq.units

If one side of a rhombus has endpoints (4, 5) and (1, 1), then the maximum area of the rhombus is 50 sq. units (b) 25 sq. units 30 sq. units (d) 20 sq. units

The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. units (B) 31/7 sq. units (C) 32/3 sq. units (D) 34/3 sq. units

Line 3x + 2y =24 meets x-axis at A and y- axis at B and perpending bisector of AB meets the line passing through (0,1) and parallel to x-axis at C. Area of Delta ABC is

One diagonal of a square is 3x-4y+8=0 and one vertex is (-1, 1). The area of square is (a) 1/50 sq. unit (b) 1/25 sq. unit (c) 3/50 sq. unit (d) 2/25 sq. unit

The area of the triangle formed by the points P(0,1), Q(0,5) and R(3,4) is (a) 16 sq. units (b) 8 sq. units (c) 4 sq. units (d) 6 sq. units

The area bounded by the loop of the curve 4y^(2)=x^(2)(4-x^(2)) is 7/3 sq.units (b)(8)/(3)sq. unites (11)/(3)sq. units (d)(16)/(3)sq. units

RESONANCE DPP-JEE MAINS-All Questions
  1. A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n ...

    Text Solution

    |

  2. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

    Text Solution

    |

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

    Text Solution

    |

  4. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  5. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

    Text Solution

    |

  6. If a vector vecr of magnitude 3sqrt6 is directed along the bisector of...

    Text Solution

    |

  7. Solve: (tanx-1/(sqrt(3)))(cosx-1/2)geq0

    Text Solution

    |

  8. vec a and vec b are two non-collinear unit vectors vec a,vec b, x vec ...

    Text Solution

    |

  9. Set of all values of x satisfying the inequality |2x^2-4x-7|<[1+1/2((...

    Text Solution

    |

  10. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  11. Let ' n ' is the number of ordered pair (x ,y) satisfying the system o...

    Text Solution

    |

  12. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  13. S straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  14. The function g(x) =[ x+b, x < 0; cos x, x >= 0, can be made differenti...

    Text Solution

    |

  15. The difference between the greatest and least value of function f(x)=c...

    Text Solution

    |

  16. Comprehension (Q. No. 6 to Q. No. 8) Let (x1, y1)&(x2, y2) are the sol...

    Text Solution

    |

  17. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

    Text Solution

    |

  18. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

    Text Solution

    |

  19. If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) ,...

    Text Solution

    |

  20. If f be a function defined on the set of non-negative integers and ta...

    Text Solution

    |