Home
Class 12
MATHS
STATEMENT-1 Three perpendicular bisector...

STATEMENT-1 Three perpendicular bisectors of the sides of an acute angles ` A B C` are `y=1/(sqrt(3))x ,y=-1/(sqrt(3))x` and `x=0` respectively, then ` A B C` is an equilateral triangle STATEMENT-2 If the vertices of a triangle are integers, then triangle can not be equilateral.

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

Prove that if cot A + cot B + cot C = sqrt3 , the triangle will be equilateral.

the equation of perpendicular bisectors of side AB,BC of triangle ABC are x-y=5,x+2y=0 respectively and A(1,-2) then coordinate of C

Let the equations of perpendicular bisectors of sides AC and of Delta ABCbe x+y=3 and x-y=1 respectively Then vertex A is is (0,0) The orthocentre of DeltaABC is

Show that the points O(0, 0), A(3, sqrt(3)) "and "B(3, -sqrt(3)) are the vertices of an equilateral triangle. Find the area of this triangle.

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

The side of an equilateral triangle is 6sqrt(3) cm. Find the area of the triangle. [Take sqrt(3)=1.732 ]

The equations of perpendicular bisectors of two sides AB and AC of a triangle ABC are x+y+1=0 and x-y+1=0 respectively. If circumradius of Delta ABC is 2 units, then the locus of vertex A is

The line x+y=sqrt(6), forms an equilateral triangle with the lines x^(2)-4xy+y^(2)=0 The perimeter of the triangle is:

RESONANCE DPP-JEE MAINS-All Questions
  1. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  2. Statement-1 :Perpendicular from origin O to the line joining the point...

    Text Solution

    |

  3. STATEMENT-1 Three perpendicular bisectors of the sides of an acute a...

    Text Solution

    |

  4. The equation n s of the lines parallel to 5x-12 y+26=0 and at a distan...

    Text Solution

    |

  5. If alpha&beta are the roots of the quadratic equation a x^2+b x+c=0 ...

    Text Solution

    |

  6. The positive integers p ,q and r , then possible value of r is 3 (b) ...

    Text Solution

    |

  7. If x , y , z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

    Text Solution

    |

  8. Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2)...

    Text Solution

    |

  9. The equation x-8/(|x-3|)=3-8/(|x-3|) has only one solution (b) infinit...

    Text Solution

    |

  10. The solution set of the equation |2x+3|-|x-1|=6, is x in (-10 ,2) (b)...

    Text Solution

    |

  11. The number of positive integral solutions of, (x^2(3x-4)^3(x-2)^4)/((x...

    Text Solution

    |

  12. If A+B+C=0 , then the value of sin^2A+cosC(cosAcosB-cosC)+cosB(cosAcos...

    Text Solution

    |

  13. If x=3-sqrt(8), then x^3+1/(x^3) is equal to 6 (b) 198 (c) 6sqrt(2)...

    Text Solution

    |

  14. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  15. A 3-digit number has, from left to right, the digits, a, b and c with ...

    Text Solution

    |

  16. If A , B , C are three real numbers and p=[A+b+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  17. Value of [2/((log)4(2000)^6)+3/((log)5(2000)^6)]i s 4^(1/3). 5^(1/2)...

    Text Solution

    |

  18. If b^2>4a c then roots of equation a x^4+b x^2+c=0 are all real and di...

    Text Solution

    |

  19. If a x^2+b x=6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  20. (log)3(1+1/3)+(log)3(1+1/4)+(log)3(1+1/5)+ddot+(log)3(1+1/(242)) when...

    Text Solution

    |