Home
Class 12
MATHS
Let ABCD be a square of side length 2 un...

Let ABCD be a square of side length 2 units. `C_(2)` is the circle through vertices A, B, C, D and `C_(1)` is the circle touching all the sides of the square ABCD. L is a line through A
A line M through A is drawn parallel to BD. Point S moves such that its distances from the line BD and the vertex A are equal. If locus of S cuts. M at `T_(2)` and `T_(3)` and AC at `T_(1)`, then area of `DeltaT_(1)T_(2)T_(3)` is

A

`1/2`

B

`2/3`

C

1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Total Conditional Probability and Bayes' Theorem

    A DAS GUPTA|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

Let ABCD be a square of side length 2 units. C_(2) is the fircle through the vertices A, B, C, D and C_(1) is the circle touching all the of the square ABCD. L is a lien through vertex A. A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line L. The locus of the centre of the circle is

Let ABCD be a square of side length 2 units.C_(2) is the circle through vertices A,B,C,D and C_(1) is the circle touching all the sides of the square ABCD.L is a line through A.If P is a point on C_(1) and Q in another point on C_(2), then (PA^(2)+PB^(2)+PC_(2), then )/(QA^(2)+QB^(2)+QC^(2)+QD^(2)) is equal to

Let ABCD be a square of side length 1, and I^(-) a circle passing through B and C, and touching AD. The readius of I^(-) is -

ABCD is a square with side AB=2. A point P moves such that its distance from A equals its distance from the line BD.The locus of P meets the line AC at T_(1) and the line through A parallel to BD at T_(2) and T_(3). The area of the triangle T_(1)T_(2)T_(3) is :

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Let ABCD be a square of side length 2 units. C(2) is the circle throug...

    Text Solution

    |

  2. The envelope of the family of straight lines whose sum of intercepts o...

    Text Solution

    |

  3. The envelope of the family of tangents to the curve y^2=x is

    Text Solution

    |

  4. The evolute of the curve x^2=4y is

    Text Solution

    |

  5. The area bounded by the curve y= f(x) and the lines x=0, y=0 and x=t, ...

    Text Solution

    |

  6. The radius of curvature of the curve y^2=4x at the point (1, 2) is

    Text Solution

    |

  7. If e1 is the eccentricity of the conic 9x^2+4y^2=36\ a n d\ e2 is the ...

    Text Solution

    |

  8. int (-pi//2)^(pi//2) sin | x | dx is equal to

    Text Solution

    |

  9. int (sin(1/x)cos^3(1/x))/x^2dx is equal to

    Text Solution

    |

  10. If f''(x) lt 0 AA x in (a,b) and (c, f(c)) is a point lying on the cur...

    Text Solution

    |

  11. The family of parabolas with a common vertex at the origin whose foci ...

    Text Solution

    |

  12. The orthogonal trajectory of the family of parabolas y^2 =4ax is

    Text Solution

    |

  13. The curve passing through the point (1, 2) that cuts each member of th...

    Text Solution

    |

  14. The general solution of the equation ((d^3y)/(dx^3)) - 7 ((d^2y)/(dx^...

    Text Solution

    |

  15. Find the differential equation for which the following value of y is t...

    Text Solution

    |

  16. The general solution of the equation (d^3 y)/ (dx^3) +y=0 is

    Text Solution

    |

  17. The value of |U| where U= [(2,3,4),(3,4,5),(4,5,6)]

    Text Solution

    |

  18. show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

    Text Solution

    |

  19. The sum of the elements of the product [3, 2,0] and [(3),(2), (0)] is

    Text Solution

    |

  20. The rank of matrix [(x, -1, 0), (0, x, -1), (-1, 0,x)] is 2 then value...

    Text Solution

    |

  21. One of the eigenvalues of A is where A= [(2,5),(7,4)]

    Text Solution

    |