Home
Class 12
MATHS
If H is the othrocenter of an acute angl...

If `H` is the othrocenter of an acute angled triangle ABC whose circumcircle is `x^2+y^2=16 ,` then circumdiameter of the triangle HBC is 1 (b) 2 (c) 4 (d) 8

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

In triangle ABC,/_A=60^(@),/_B=40^(@), and /_C=80^(@) . If P is the center of the circumcircle of triangle ABC with radius unity,then the radius of the circumcircle of triangle BPC is 1 (b) sqrt(3)(c)2(d)sqrt(3)2

The minimum value of tan B tan C in an acute angled triangle ABC is

Find the orthocentre of the triangle ABC whose abgular points are A(1,2),B(2,3) and C(4,3)

If H is orthocentre of acute angled triangle ABC, then image of H with respect to side AB always lies on (1) Circumcircle of triangleABC (2) Circumcircle of triangleAHB (3) Escribed circle opposite to vertex C (4) Circumcircle of triangleAIB where I is incentve triangleABC

In acute angled triangle ABC prove that tan ^(2)A+tan^(2)B+tan^(2)Cge9 .

The altitudes from the vertices A,B,C of an acute angled triangle ABC to the opposite sides meet the circumcircle at D,E,F respectively . Then (EF)/(BC) =

If the angles of a triangle ABC are in AP, a =2, c = 4then b is

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

RESONANCE DPP-JEE MAINS-All Questions
  1. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  2. In a A B C(b csin^2A)/(cos A+cosB cos C) is equal to b^2+C^2 b.b c ...

    Text Solution

    |

  3. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

  4. If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 ,...

    Text Solution

    |

  5. Let E={1,2,3,4}a n dF-{1,2}dot If N is the number of onto functions fr...

    Text Solution

    |

  6. Find the number of ways in which the letters A, B, C, D, E, F can be p...

    Text Solution

    |

  7. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime...

    Text Solution

    |

  8. The function f(x) = sin x-x cos x is: (A).maximum or minimum for a...

    Text Solution

    |

  9. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  10. The value of int(-2pi)^(5pi)cot^(-1)(tanx)dxi se q u a lto (7pi)/2 (...

    Text Solution

    |

  11. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |

  12. Evaluate the following: lim(xrarr0)(sin^2 2x)/(tan^2 3x)

    Text Solution

    |

  13. Domain of the function f(x)=sqrt(cos(s in x))+sin(x^2-1)i s [-1,1] [-...

    Text Solution

    |

  14. If two events A and B are such that P(A^c)=0. 3. P(B^c)=0. 4 a n d P...

    Text Solution

    |

  15. Evaluate the following: lim(xrarr0) sin^2 (x/2)/(x^2)

    Text Solution

    |

  16. tan(tan^(-1)5+cot^(-1)1/3) 4/7 b. -4/7 c. 3/7 d. not defined

    Text Solution

    |

  17. If in a A B C , =a^2-(b-c)^2, then tanA is equal to 15//16 b. 8...

    Text Solution

    |

  18. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

    Text Solution

    |

  19. The value of cos^(-1)(cos 12)-sin^(-1)(s in 14) is -2 b. 8pi-26 c. 4pi...

    Text Solution

    |

  20. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

    Text Solution

    |