Home
Class 11
MATHS
The line x/a+y/b=1 meets the x-axis at A...

The line `x/a+y/b=1` meets the x-axis at `A ,` the y-axis at `B ,` and the line `y=x` at `C` such, that the area of `"Delta"A O C` is twice the area of `"Delta"B O C` . Then the coordinates of `C` are `(b/3, b/3)` (b) `((2a)/3,(2a)/3)` (c) ` ((2b)/3,(2b)/3)` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

The area of a parallelogram formed by the lines a x+-b y+-c=0 is (a) (c^2)/((a b)) (b) (2c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (2 c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

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 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The perpendicular bisector of A B meets the line through (0,-1) parallel to the x-axis at Cdot If the area of triangle A B C is A , then the value of A/(13) is________

The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The perpendicular bisector of A B meets the line through (0,-1) parallel to the x-axis at Cdot If the area of triangle A B C is A , then the value of A/(13) is________

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (1/2,1/3) (d) none of these

If a , b , c are in G.P. write the area of the triangle formed by the line a x+b y+c=0 with the coordinates axes.

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

The equation of the base of an equilateral triangle A B C is x+y=2 and the vertex is (2,-1) . The area of the triangle A B C is: (sqrt(2))/6 (b) (sqrt(3))/6 (c) (sqrt(3))/8 (d) None of these

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The equation of a line through the point (1, 2) whose distance from th...

    Text Solution

    |

  2. Find the equation of the line through the point A(2,3) and making an a...

    Text Solution

    |

  3. The line x/a+y/b=1 meets the x-axis at A , the y-axis at B , and the l...

    Text Solution

    |

  4. The line joining two points A(2,0) and B(3,1) is rotated about A in an...

    Text Solution

    |

  5. The area of the triangle formed by the lines y=a x ,x+y-a=0 and the y-...

    Text Solution

    |

  6. Find the equation of the lines through the point (3, 2) which make a...

    Text Solution

    |

  7. Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x...

    Text Solution

    |

  8. A straight line is drawn through the point P(2,3)and is inclined at an...

    Text Solution

    |

  9. A line of fixed length 2 units moves so that its ends are on the po...

    Text Solution

    |

  10. The perpendicular from the origin to a line meets it at the point (2...

    Text Solution

    |

  11. The line x/3+y/4=1 meets the y-axis and x-axis at A and B respectively...

    Text Solution

    |

  12. Find the direction in which a straight line must be drawn through th...

    Text Solution

    |

  13. The centroid of an equilateral triangle is (0, 0). If two vertices of ...

    Text Solution

    |

  14. Two fixed points A and B are taken on the coordinates axes such that O...

    Text Solution

    |

  15. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  16. Find the equation of the straight line which passes through the origin...

    Text Solution

    |

  17. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

  18. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |

  19. The equation of line on which the perpendicular from the origin make 3...

    Text Solution

    |

  20. In the given figure, P Q R is an equilateral triangle and O S P T is s...

    Text Solution

    |