Home
Class 11
MATHS
In the isosceles triangle OAB, O is the ...

In the isosceles triangle OAB, O is the origin, `OA=OB=6`. If the equation of side AB is `x-y+1=0`, then the area of the triangle OAB is (in square units)

A

`sqrt(71)`

B

`1/2sqrt(71)`

C

`3sqrt(71)`

D

`4sqrt(71)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|92 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

If the ends of the base of an isosceles triangle are at (2,0) and (0,1) , and the equaiton of one side is x=2 then the orthocenter of the triangle is

Given an isosceles triangle, whose one angle is 120^(@) and radius of its in circle = sqrt(3) . Then the area of the triangle in square units is

The extremites of the base of an isosceles triangle are (2,0) and (0,2). If the equation of one of the equal side is x=2, then the equaiton of other unequal side is

One vertex of an equilateral triangle is (2,3) and the equation of one side is x-y+5=0. Then the equation to other sides are

(1,2),(2,3),(3,1) are the midpoints of the sides of the triangle then the area of the triangle is (in.sq.units)

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1 , then the orthocentre of te triangle is

The side of triangle ABC satisfy the relation a + b - c = 2 " and " 2ab - c^(2) = 4 , then square of the area of triangle is :

The line x+y=p meets the x-and y-axes at A and B, respectively. A triangle APQ is inscribed in triangle OAB, O being with right at Q.P and Q lie, respectivley, on OB and AB. If the area of triangle APQ is 3//8 th of the area of triangle OAB, then AQ/BQ is equal to

If a pair of perpendicular lines through the origin together with the straight line 2x+3 y=6 from an isosceles triangle, thene the area of that triangle (in sq units) is

AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. P and Q are two points on the line x-y+1=0, If OP=OQ=6 then length of...

    Text Solution

    |

  2. The equation of the base of ann equilateral triangle is 3x-4y+15=0 and...

    Text Solution

    |

  3. In the isosceles triangle OAB, O is the origin, OA=OB=6. If the equati...

    Text Solution

    |

  4. If the straight line 3x+4y=8 is equidistant from (2,3) and (-4,a) then...

    Text Solution

    |

  5. If the point A is symmetric to the point B(4,-1) with respect to the b...

    Text Solution

    |

  6. The locus of point of intersection of perpendicular straight lines whi...

    Text Solution

    |

  7. If the algebraic sum of the perpendicular distances from the points (2...

    Text Solution

    |

  8. If the acute angle between the lines 2x+3y-5=0, 5x+ky-6=0 is pi//4, th...

    Text Solution

    |

  9. Angle between the lines sqrt(3)x+y+1=0, x+1=0 is

    Text Solution

    |

  10. The angle between the lines formed by joining the points (2, -3), (-5,...

    Text Solution

    |

  11. Slopes of the lines making an angle 45^(@) with the line x-2y=3 are

    Text Solution

    |

  12. The orthocentre of the Delta^( l e) formed by (0,0), (8,0),(4,6) is

    Text Solution

    |

  13. The orthocentre of the triangle formed by (1,-3),(6,1),(4,-1) is

    Text Solution

    |

  14. The orthocentre of the triangle whose sides are given by 4x-7y+10=0,x+...

    Text Solution

    |

  15. Circumcentre of the trianlge formed by the points (2,3),(0,1),(4,1) is

    Text Solution

    |

  16. The circumcentre of the triangle formed by the lines x+y-1=0,x-y-1=0,x...

    Text Solution

    |

  17. Foot of the perpendicular draw from (7,6) on y-axis is

    Text Solution

    |

  18. Image of (2,3) w.r.t (0,0) is

    Text Solution

    |

  19. Reflection of x=3 in y-axis is

    Text Solution

    |

  20. The image of the point (3, 8) in the line x+3y=7 is

    Text Solution

    |