Home
Class 11
MATHS
The side AB, BC and CA of a triangle ABC...

The side AB, BC and CA of a triangle ABC have 3,4 and 5 interior points respectively on them. Find the number of triangles that can be constructed using these interior points as vertices.

A

220

B

204

C

205

D

195

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

The sides AB, BC, CA of a triangle ABC have 3, 4 and 5 triangles that can be constructed by using these points as vertices, is

The midpoints of the sides BC, CA and AB of a triangle ABC are D(2,1), E(-5,7)and F(-5, -5) respectively. Find the equations of the sides of triangle ABC .

The vertices A, B, C of a triangle ABC have co-ordinates (4,4), (5,3) and (6,0) respectively. Find the equations of the perpendicular bisectors of AB and BC, the coordinates of the circumcentre and the radius of the circumcircle of the triangle ABC.

In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

The position vectors of vertices of triangle ABC are (1, -2), (-7,6) and (11/5, 2/5) respectively. The measure of the interior angle A of the triangle ABC, is,

A (-4, 2), B(0, 2) and C(-2,-4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of Delta PQR is the same as the centroid of Delta ABC.

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. If perimeters of DeltaLMN and Delta ABC an lamda and mu, then the value of (lamda)/(mu) is

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
  1. If the letters of the word ‘LATE’ be permuted and the words so perfo...

    Text Solution

    |

  2. The total number of ways of arranging the letters AAAA BBB CC D E F in...

    Text Solution

    |

  3. The side AB, BC and CA of a triangle ABC have 3,4 and 5 interior point...

    Text Solution

    |

  4. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  5. The number of all the possible selections which a student can make for...

    Text Solution

    |

  6. The greatest possible number of points of intersection of 8 straight l...

    Text Solution

    |

  7. A lady gives a dinner party to 5 guests to be selected from nine frien...

    Text Solution

    |

  8. There are 10 lamps in a hall. Each one of them can be switched on i...

    Text Solution

    |

  9. The number of ways in which four persons be seated at a round table, s...

    Text Solution

    |

  10. At an election there are five candidates and three members to be elect...

    Text Solution

    |

  11. There are p copies each of n different books. Find the number of ways ...

    Text Solution

    |

  12. A library has two books each having three copies and three other books...

    Text Solution

    |

  13. The total number of arrangements of the letters in the expression a^(3...

    Text Solution

    |

  14. The total number of selections of fruit which can be made from 3 banan...

    Text Solution

    |

  15. The total number of ways of dividing mn things into n equal groups, is

    Text Solution

    |

  16. How many different words of 4 letters can be formed with the letters o...

    Text Solution

    |

  17. ""sum(r=1)^(4)""^(21-r)C(4)+ 17C(5), is

    Text Solution

    |

  18. Given that .^(n)C(n-r)+3^(n)C(n-r+1)+3. .^(n)C(n-r+2)+.^(n)C(n-r+3)=...

    Text Solution

    |

  19. If n is even and ""^(n)C(0)lt""^(n)C(1) lt ""^(n)C(2) lt ....lt ""^(...

    Text Solution

    |

  20. Find the number of ways in which one can post 5 letters in 7letter ...

    Text Solution

    |