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

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)=1` b. `xx_1+y y_1=3` c. `x/(3x_1)+y/(3y_1)=1` d. `x/(x_1)+y/(y_1)=1` e. `x x_1+y y_1=1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|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 (1) (3x)/(x_1)+(3y)/(y_1)=1 (2) xx_1+y y_1=3 (3) x/(3x_1)+y/(3y_1)=1 (4) x/(x_1)+y/(y_1)=1 (5) x x_1+y y_1=1

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

The equation of line l_(1) is y=2x+3 , and the equation of line l_(2) is y=2x-5.

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (1/2,1/2) (b) (1/3,1/3) (0,0) (d) (1/4,1/4)

The area of the triangle formed by the lines y=a x ,x+y-a=0 and the y-axis is (a) 1/(2|1+a|) (b) 1/(|1+a|) (c) 1/2|a/(1+a)| (d) (a^2)/(2|1+a|)

If the tangent at (x_1,y_1) to the curve x^3+y^3=a^3 meets the curve again in (x_2,y_2), then prove that (x_2)/(x_1)+(y_2)/(y_1)=-1

If the tangent at (x_1,y_1) to the curve x^3+y^3=a^3 meets the curve again in (x_2,y_2), then prove that (x_2)/(x_1)+(y_2)/(y_1)=-1

Write the condition of collinearity of points (x_1,\ y_1),\ \ (x_2,\ y_2) and (x_3,\ y_3) .

The equation to the chord joining two points (x_1,y_1) and (x_2,y_2) on the rectangular hyperbola xy=c^2 is: (A) x/(x_1+x_2)+y/(y_1+y_2)=1 (B) x/(x_1-x_2)+y/(y_1-y_2)=1 (C) x/(y_1+y_2)+y/(x_1+x_2)=1 (D) x/(y_1-y_2)+y/(x_1-x_2)=1

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The marks of some students were listed out of a maximum 75. The SD ...

    Text Solution

    |

  2. If angles A,B, and C of a triangle ABC are in A.P. and if (b)/(c) = (s...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of sin^(-1) (cot(sin^(-1) sqrt((2 -sqrt3)/(4)) + cos^(-1)....

    Text Solution

    |

  5. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

    Text Solution

    |

  6. The greatest integral value of m for which the point of intersection...

    Text Solution

    |

  7. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  8. if lim(h->0) [f(a-h)/f(a)]=c where f(x) is a continuous function s...

    Text Solution

    |

  9. If the graph of non-constant function is symmetric about the point (3,...

    Text Solution

    |

  10. The expansion of (sqrt(x)+(1)/(2 root(4)(x)))^(n) is arranged in decr...

    Text Solution

    |

  11. if f(x)=x^x,x in (1,infty) and g(x) be inverse function of f(x) then g...

    Text Solution

    |

  12. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

    Text Solution

    |

  13. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

    Text Solution

    |

  14. If the mean and variance of a binomial variate X are 7/3a n d(14)/9 re...

    Text Solution

    |

  15. If the value of x satisfying the equation sin^(-1)sqrt(1-x^2)=tan^...

    Text Solution

    |

  16. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  17. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

    Text Solution

    |

  18. Two cards are drawn one after another from a pack of 52 ordinary cards...

    Text Solution

    |

  19. If G is the centroid and O is the circumcentre of the triangle with ve...

    Text Solution

    |

  20. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

    Text Solution

    |