Home
Class 12
MATHS
If H is the orthocenter of DeltaABC and...

If H is the orthocenter of `DeltaABC` and if `AH = x, BH = y, CH = z`, then `a/x+b/y+c/z=`

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

If H is the orthocenter of Delta ABC and if AH=x,BH=y,CH=z, then (a)/(x)+(b)/(y)+(c)/(z)=

If H be orthocentre of DeltaABC and mid point of AH, BH, CH are respectively P, Q, R then prove that H is also the orthocentre of DeltaPQR and DeltaPQR-DeltaABC .

If in Delta ABC , the distance of the vertices from the orthocenter are x,y, and z then prove that (a)/(x) + (b)/(y) + (c)/(z) = (abc)/(xyz)

If x = y^(a), y = z^(b) and z = x^(c), compute abc.

If x,y and z are in A.P ax,by and cz in G.P and a, b, c in H.P then prove that x/z+z/x=a/c+c/a

RESONANCE DPP-JEE MAINS-All Questions
  1. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

    Text Solution

    |

  2. The line y=x is tangent at (0, 0) to a circle of radius 1. The centre ...

    Text Solution

    |

  3. If H is the orthocenter of DeltaABC and if AH = x, BH = y, CH = z, t...

    Text Solution

    |

  4. C1 and C2 are fixed circles of radii r1 and r2 touches each other ext...

    Text Solution

    |

  5. Let zk be the roots of the equation (z+1)^7+z^7=0, then sum (k=0)^6 Re...

    Text Solution

    |

  6. Find the equations of the sides of the triangle having (3, - 1) as a v...

    Text Solution

    |

  7. The equation of the circle which passes through the point A(0, 5) and ...

    Text Solution

    |

  8. One diagonal of a square is the portion of the line sqrt(3)x+y=2sqrt(3...

    Text Solution

    |

  9. Three vertices of a parallelogram are (1, 1), (2, 4)  and (3,5), then ...

    Text Solution

    |

  10. If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n d...

    Text Solution

    |

  11. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

    Text Solution

    |

  12. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  13. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

    Text Solution

    |

  14. ("lim")(x→oo)((a x+3)/(b x+2))^(b x) is equal to (a and b are positive...

    Text Solution

    |

  15. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |

  16. The equation 2log(x+3)="log"(alphax) has only one solution if alpha=12...

    Text Solution

    |

  17. If x^2+2a x+a<0AAx in [1,2], the find the values of adot

    Text Solution

    |

  18. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

    Text Solution

    |

  19. A box contains 1 black and 1 white ball. A ball is drawn randomly and ...

    Text Solution

    |

  20. On a normal standard die one of the 21 dots from any one of the six...

    Text Solution

    |