Home
Class 11
MATHS
Show that A(a,b,c),B(b,c,a) and C(c,a,b)...

Show that A(a,b,c),B(b,c,a) and C(c,a,b) are the vertices of an equilateral triangle.

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (4)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

  • MODEL PAPER (6)

    JBD PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertices of an equilateral triangle.

Show that points A(a,b+c),B(b,c+a) ਅਤੇ C(c,a+b) are collinear.

Show that points : A (a,b+c),B(b,c+a),C(c,a+b) are collinear.

Show that: a (b-c)+b(c-a)+c(a-b)=0 .

If the origin is the centroid of triangle ABC, with vertices A(a,1,3), B(-2,b,-5) and C(4,7,c). Find the values of a,b and c.

If A, B and C are the vertices of a triangle ABC, prove sine formula that =(a)/(sinA)=(b)/(sinB)=(c)/(sinC)

The roots z_1, z_2, z_3 of the equation x^3 + 3ax^2 + 3bx + c = 0 in which a, b, c are complex numbers correspond to points A, B, C. Show triangle will be an equilateral triangle if a^2=b .

Prove that a^(2)+ b^(2) +c^(2) +2abclt2, where a,b,c are the sides of triangle ABC such that a+b+c=2.

If Delta= {:|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)| , then show that Delta is equal to zero.

JBD PUBLICATION-MODEL PAPER (5)-EXERICSE
  1. Exapand: (2/x-x/2)^(5), x ne 0

    Text Solution

    |

  2. Find 3rd term in the expansion of (3x-y^3/6)^4.

    Text Solution

    |

  3. Show that A(a,b,c),B(b,c,a) and C(c,a,b) are the vertices of an equila...

    Text Solution

    |

  4. Write down the truth value of the following statement: All integers ar...

    Text Solution

    |

  5. Write down the truth value of the following statement: Violet are blue...

    Text Solution

    |

  6. Which of the following statements are true and which are false? In eac...

    Text Solution

    |

  7. In a group of students, 100 students know Hindi, 50 know English and 2...

    Text Solution

    |

  8. If A={3,5},B={2,4,6}. Find n(AxxB)

    Text Solution

    |

  9. If A={3,5},B={2,4,6}. Find n(BxxA)

    Text Solution

    |

  10. Prove that: sin 3x + sin 2x -sin x = 4sin x cosfrac(x)(2)cosfrac(3x)(2...

    Text Solution

    |

  11. Using principle of mathematical induction, prove that: 1+3+5+………..+(2n...

    Text Solution

    |

  12. A bag contains 5 black and 6 red balls. Determine the number of ways i...

    Text Solution

    |

  13. Find the value of r if 5. ^4Pr= 6. "^5P(r-1).

    Text Solution

    |

  14. If the sum of n terms of an A.P is nP+1/2 n(n-1)Q, where P and Q are c...

    Text Solution

    |

  15. If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then s...

    Text Solution

    |

  16. Find a point on the x-axis which is equidistant from the points (7, 6)...

    Text Solution

    |

  17. Find the equation of ellipse that satisfy the given conditions: Length...

    Text Solution

    |

  18. Find the derivative of 1/x^2

    Text Solution

    |

  19. Find underset(xrarr0)lim f(x), where f(x)={(|x|/x, xne0),(0, x=0):}

    Text Solution

    |

  20. One card is drawn from a well shuffled deck of 52 cards. If each outco...

    Text Solution

    |