Home
Class 12
MATHS
If (x1, y1) be the centroid of the trian...

If `(x_1, y_1)` be the centroid of the triangle formed by a line `L` and coordinate axes then equation of line `L` is `(3x)/(x_1)+(3y)/(y_1)=1` `xx_1+y y_1=3` `x/(3x_1)+y/(3y_1)=1` `x/(x_1)+y/(y_1)=1` `xx_1+y y_1=1`

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

If (x_(1),y_(1)) be the centroid of the triangle formed by a line L and coordinate axes then equation of line L is a.(3x)/(x_(1))+(3y)/(y_(1))=1bquad x_(1)+yy_(1)=3c*(x)/(3x_(1))+(y)/(3y_(1))=1d(x)/(x_(1))+(y)/(y_(1))=1e.xx_(1)+yy_(1)=1

The circumcentre of the triangle formed by the lines x+y-1=0,x-y-10,x-3y+3=0 is

The orthocenter of the triangle formed by the lines x+y+1=0, x-y-1=0, 3x+4y+5=0 is :

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

The centroid of the triangle formed by A(x_(1),y_(1)),B(x_(2),y_(2)),C(x_(3),y_(3)) is

In a triangle ABC ,the bisectors of angles BandC lies along the lines x=y and y=0 . If A is (1,2) ,then the equation of line BC is (a) 2x+y=1 (b) 3x-y=5 (c) x-2y=3 (d) x+3y=1

Solve (dy)/(dx) = (x+y+1)/(x+y-1) when x = (2)/(3), y = (1)/(3)

The equation of the circle circumscribing the triangle formed by the lines x=1,y=1,x+y=3 is

Reflection of the line (x-1)/(-1)=(y-2)/(3)=(z-3)/(1) in the plane x+y+z=7 is

(x) / (2) + (y) / (3) = 1 (x) / (3) + (y) / (2) = 1

RESONANCE DPP-JEE MAINS-All Questions
  1. Solve the equation log4 (2x^2 + x + 1) - log2 (2x - 1) = 1.

    Text Solution

    |

  2. If the angle between the straight lines joining foci and the ends of m...

    Text Solution

    |

  3. If (x1, y1) be the centroid of the triangle formed by a line L and coo...

    Text Solution

    |

  4. If Aa n dB are symmetric and commute, then which of the following is/a...

    Text Solution

    |

  5. A man with pure blue eyes and pure black hair marries a woman with bla...

    Text Solution

    |

  6. An integer is chosen at random from first 200 positive integers. Fi...

    Text Solution

    |

  7. The value of ("lim")(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s 1/(8s...

    Text Solution

    |

  8. The number of ways in which 6 red roses and 3 white roses (all roses d...

    Text Solution

    |

  9. A set contains (2n+1) elements. If the number of subsets of this set w...

    Text Solution

    |

  10. If g(x)=(lim)(mvecoo)(x^mf(x)+h(x)+3)/(2x^m+4x+1) when x!=1a n dg(1)=e...

    Text Solution

    |

  11. A B C is a triangle where A=(2,3,5)B=(-1,2,2)a n dC(lambda,5mu) , if t...

    Text Solution

    |

  12. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  13. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

    Text Solution

    |

  14. If (alpha, beta) is a point of intersection of the lines xcostheta +y ...

    Text Solution

    |

  15. If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP...

    Text Solution

    |

  16. Let f: RvecR be a one-one onto differentiable function, such that f(2)...

    Text Solution

    |

  17. lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) a. 1 b. -1 c. 0 d. Does not...

    Text Solution

    |

  18. If matrix A is given by A=[6 11 2 4] , then the determinant of A^(2...

    Text Solution

    |

  19. If the line y=mx+c touches the parabola y^(2)=4a(x+a), then

    Text Solution

    |

  20. A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime numb...

    Text Solution

    |