Home
Class 12
MATHS
In triangle A B C ,/A=30^0,H is the orth...

In triangle `A B C ,/_A=30^0,H` is the orthocenter and `D` is the midpoint of `B C`. Segment `H D` is produced to `T` such that `H D=D T` The length `A T` is equal to
(a). `2B C`
(b). `3B C`
(c). `4/2B C`
(d). none of these

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

If an a triangle A B C , b=3 c, a n d C-B=90^0, then find the value of tanB

In A B C , the median A D divides /_B A C such that /_B A D :/_C A D=2:1 . Then cos(A/3) is equal to (sinB)/(2sinC) (b) (sinC)/(2sinB) (2sinB)/(sinC) (d) none of these

If A and B are two non-singular matrices such that A B=C ,t h e n,|B| is equal to a. (|C|)/(|A|) b. (|A|)/(|C|) c. |C| d. none of these

If A is an orthogonal matrix then A^(-1) equals a. A^T b. A c. A^2 d. none of these

In triangle A B C , if sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^2A is equal to (a)2 (b) 3 (c) 4 (d) 5.

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a) geq12 (b) geq9 (c) lt=12 (d)none of these

In triangle A B C ,/_A=60^0,/_B=40^0,a n d/_C=80^0dot If P is the center of the circumcircle of triangle A B C with radius unity, then the radius of the circumcircle of triangle B P C is (a) 1 (b) sqrt(3) (c) 2 (d) sqrt(3) 2

A circle is inscribed in a triangle A B C touching the side A B at D such that A D=5,B D=3,if/_A=60^0 then length B C equals. (a) 4 (b) (120)/(13) (c) 13 (d) 12

If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B)^2 is equal to a. A^2+B^2 b. O c. A^2+2A B+B^2 d. A+B

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Given three non-zero, non-coplanar vectors vec a , vec b ,and vecc ...

    Text Solution

    |

  2. Let vec r1, vec r2, vec r3, .....vec rn be the position vectors of p...

    Text Solution

    |

  3. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

    Text Solution

    |

  4. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

    Text Solution

    |

  5. Given three vectors vec a=6 hat i-3 hat j , vec b=2 hat i-6 hat ja n ...

    Text Solution

    |

  6. Let us define the length of a vector a hat i+b hat j+c hat k a s|a|+...

    Text Solution

    |

  7. Vectors vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k are l...

    Text Solution

    |

  8. Vectors vec a= hat i+2 hat j+3 hat k , vec b=2 hat i- hat j+ hat k an...

    Text Solution

    |

  9. The position vectors of the vertices A ,B ,a n dC of a triangle are ...

    Text Solution

    |

  10. A ship is sailing towards the north at a speed of 1.25 m/s. The cur...

    Text Solution

    |

  11. Given four points P1,P2,P3a n dP4 on the coordinate plane with origin ...

    Text Solution

    |

  12. The vectors vec a and vec b are non collinear. If vec p = (x+4y)veca+ ...

    Text Solution

    |

  13. If vec a , vec b and vec c are any three non-coplanar vectors, then...

    Text Solution

    |

  14. If vec a , vec ba n d vec c are three non-zero non-coplanar vectors, ...

    Text Solution

    |

  15. Let a, b, c be distinct non-negative numbers an the vectors ahati+aha...

    Text Solution

    |

  16. A pyramid with vertex at point P has a regular hexagonal base A B C ...

    Text Solution

    |

  17. ABCD is a parallelogram. If L and M be the middle points of BC and CD,...

    Text Solution

    |

  18. A ,B ,C and D have position vectors vec a , vec b , vec c and vec d ,...

    Text Solution

    |

  19. If vec aa n d vec b are two unit vectors and theta is the angle betwe...

    Text Solution

    |

  20. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |