Home
Class 12
MATHS
The Delta with vertices (x(i),y(i)) i=1,...

The Delta with vertices `(x_(i),y_(i)) i=1,2,3 "is inscribed in the circle" x^(2)+y^(2)=a^(2)`.The orthocentre of the Delta is

A

`(-Sig"maxi",-Sigmayi)`

B

`(Sig"maxi",-Sigmayi)`

C

`(Sigma x_(i),Sigma y_(i))`

D

`((1)/(3)Sigma x i,(1)/(3)Sigma y i)`

Text Solution

Verified by Experts

The correct Answer is:
3

`(Sigmax_(1))/(3)=(Sigma)/(3)`
`(Sigmay_(1))/(3)=(y)/(3)`
`H(x,y)rArrH(Sigmax_(1),Sigma y_(1))`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 8

    CAREER POINT|Exercise PART (C ) - MATHS|30 Videos

Similar Questions

Explore conceptually related problems

If an equilateral triangle is inscribed in the circle x^(2)+y2=a^(2), the length of its each side is

An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2) with one of the vertices at (a,0).What is the equation of the side opposite to this vertex?

If (1sqrt(3)) be one of the vertices of an equilateral triangle in circled in the circle x^(2)+y^(2)=4, then the other vertices are

The area of an equilateral triangle inscribed in the circle x^(2)+y^(2)-2x=0 is

What is the length of an equilateral triangle inscribed in the circle x^(2)+y^(2)=(4)/(3)?

A right angled isosceles triangle is inscribed in the circle x^(2)+y^(2)-4x-2y-4=0 then length of its side is

A right angled isosceles triangle is inscribed in the circle x^(2)+y^(2)-4x-2y-4=0 then length of its side is

CAREER POINT-MOCK TEST 9-MATHS
  1. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

    Text Solution

    |

  2. The equation of the plane passing through the lines (x-4)/(1)=(y-3)/(1...

    Text Solution

    |

  3. The Delta with vertices (x(i),y(i)) i=1,2,3 "is inscribed in the circl...

    Text Solution

    |

  4. If the line px + qy =1 is a tangent to the parabola y^(2) =4ax, then

    Text Solution

    |

  5. If int (2tan x+3)/(sin^(2)x+2cos^(2)x)dx =1(n)(1+sec^(2)x)+ p tan^(-...

    Text Solution

    |

  6. If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing ...

    Text Solution

    |

  7. If f(x) is continuous and increasing functin such that the domain of g...

    Text Solution

    |

  8. If f(x)={alpha+sin[x]/x , x > 0 and 2 ,x=0 and beta+[(sin x-x)/x^3] ,x...

    Text Solution

    |

  9. Find the greatest value of the term independent of x in the expansion ...

    Text Solution

    |

  10. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

    Text Solution

    |

  11. If b^(2) -ac lt 0 and a gt 0 then the value of the determinant is

    Text Solution

    |

  12. The probability that sin^(-1)(sin x)+cos^(-1)(cos y) is an integer x, ...

    Text Solution

    |

  13. If the points P(alpha,0) and Q(0,beta) always lies inside sthe Delta f...

    Text Solution

    |

  14. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

    Text Solution

    |

  15. The value of the definite integral int(0)^(3pi//4)(1+x)sin x+(1-x) cos...

    Text Solution

    |

  16. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  17. Through the centriod of an equilateral triangle a line parallel to the...

    Text Solution

    |

  18. If the number of ways of selecting 3 numbers out of 1, 2, 3, ……., 2n+1...

    Text Solution

    |

  19. If alpha and beta "are the roots of the quadratic equation" ax^(2) ...

    Text Solution

    |

  20. If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals

    Text Solution

    |