Home
Class 12
MATHS
A triangle ABC is given where vertex A i...

A triangle ABC is given where vertex A is (1, 1) and the orthocenter is (2, 4). Also sides AB and BC are members of the family of lines `ax + by + c = 0` where `a, b, c` are in `A.P.` Based on above written, solve the following questions. The vertex B is

A

(2,1)

B

(1,-2)

C

(-1,2)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Consider the triangle ABC having vertex A(1,1) and its orthocentre is (2,4). Also side AB & BC are members of the family of line, ax + by + c = 0 where a,b,c are in A.P. DeltaABC is a:

Consider the triangle ABC having vertex A(1,1) and its orthocentre is (2,4). Also side AB & BC are members of the family of line, ax + by + c = 0 where a,b,c are in A.P. The vertex C is :

If in Delta ABC , sides a, b, c are in A.P. then

If sin theta and -cos theta are the roots of the equation ax^(2) - bx - c = 0 , where a, b, and c are the sides of a triangle ABC, then cos B is equal to

Equation of line which is equally inclined to the axis and passes through a common points of family of lines 4acx + y(ab + bc + ca- abc) +abc = 0 (where a, b, c> 0 are in H.P.) is

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If a,b,c are in A.P. prove that the following are also in A.P. (1)/(bc), (1)/(ca) , (1)/(ab)

If sin theta and - cos theta are the roots of the equation ax^2-bx-c=0 where a, b and c the side of a triangle ABC , then cos B is equal to :-

If vertex A of triangle ABC is (3,5) and centroid is (-1,2) , then find the midpoint of side BC.

1/a, 1/b and 1/c are in A.P. Show that bc, ca, and ab are also in A.P.

RESONANCE ENGLISH-DPP-QUESTION
  1. A man wants to distribute 101 coins a rupee each, among his 3 sons wit...

    Text Solution

    |

  2. Numbers of natural numbers smaller than ten thousand and divisible by ...

    Text Solution

    |

  3. A triangle ABC is given where vertex A is (1, 1) and the orthocenter i...

    Text Solution

    |

  4. Consider the triangle ABC having vertex A(1,1) and its orthocentre is ...

    Text Solution

    |

  5. Consider the triangle ABC having vertex A(1,1) and its orthocentre is ...

    Text Solution

    |

  6. If the number of ways in which 7 letters can be put in 7 envelopes suc...

    Text Solution

    |

  7. The streets of a city are arranged like the lines of a chess board. Th...

    Text Solution

    |

  8. For the equation x + y + z +omega= 19, the number of positive integral...

    Text Solution

    |

  9. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  10. The number of dissimilar terms in the expansion of (1+x^(4)+2x^(2))^(1...

    Text Solution

    |

  11. The sum of the all rational terms in the expansion of (3^(1//7) + 5^(1...

    Text Solution

    |

  12. (x+y)^(n) + (x-y)^(n) is equal to

    Text Solution

    |

  13. 3C0+5C1+7C2+ +(2n+3)Cn=2^n(n+3)

    Text Solution

    |

  14. Prove that distance between two parallel lines ax+by+c1=0 and ax+by+c2...

    Text Solution

    |

  15. Show that the area of the triangle formed by the lines y=m1x+c1,""...

    Text Solution

    |

  16. Foot of the perpendicular from a point (x(1),y(1)) on the line ax + by...

    Text Solution

    |

  17. The lines bisecting the angle between the bisectors of the angles betw...

    Text Solution

    |

  18. (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n) then C(0)C(2)+C(1)C(3)+C(2...

    Text Solution

    |

  19. Find the equation of the straight lines passing through the origin mak...

    Text Solution

    |

  20. Find the coefficient of x^(-2) in (1+x^(2)+x^(4)) (1-1/(x^(2)))^(18)

    Text Solution

    |