Home
Class 12
MATHS
P and Q are two points with position ...

`P` and `Q` are two points with position vectors `3 vec a-2 vec b` and ` vec a+ vec b` respectively. Write the position vector of a point R which divides the line segment PQ in the ratio 2:1 externally.

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)-3vec(b) respectively. Write the position vector of a point Z, which divides the line segment XY in the ratio 2 : 1 externally.

A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(b)-vec(a) respectively. Write the position vector of a point, which divides the line segment AB internally in the ratio 1 : 2.

L and M are two points with position vectors 2vec(a)-vec(b)andvec(a)+2vec(b) , respectively. The position vector of the pont N which divides the line segment LM in the ratio 2:1 externally is

Find the position vector of the point which divides 2vec a-3vec b and 3vec a-2vec b in the ratio 2:3

The position vector of A,B are vec a and vec b respectively.The position vector of C is (5(vec a)/(3))-vec b then

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

Find the position of R, which divides the line joining P(3vec(a)-2vec(b)) and Q(vec(a)+vec(b)) in the ratio 2 : 1 externally.

The position vector of the point which divides the join of points 2vec(a)-3vec(b) and vec(a)+vec(b) in the ratio 3:1 is

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec AC=3vec AB is

Show that the points A,B,C with position vectors 2vec a+3vec b+5vec c,vec a+2vec b+3vec c and 7vec a-vec c respectively,are collinear.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the differential equation representing the family of curves y...

    Text Solution

    |

  2. If A(ij) is the cofactor of the element a(ij) of the determinant |(2,-...

    Text Solution

    |

  3. P and Q are two points with position vectors 3 vec a-2 vec b and v...

    Text Solution

    |

  4. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x y) ) dy=...

    Text Solution

    |

  5. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

    Text Solution

    |

  6. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

    Text Solution

    |

  7. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

    Text Solution

    |

  8. Using differentials, find the approximate value of f(2. 01), where ...

    Text Solution

    |

  9. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

    Text Solution

    |

  10. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

    Text Solution

    |

  11. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

    Text Solution

    |

  12. An aeroplane can carry a maximum of 200 passengers. A profit of Rs....

    Text Solution

    |

  13. Often it is taken that a truthful person commands, more respect in ...

    Text Solution

    |

  14. integrate thisint ( x^2+1)/(x^2-5x+6)dx

    Text Solution

    |

  15. In a group of 50 scouts in a camp, 30 are well trained in first aid...

    Text Solution

    |

  16. students were selected from a school on the basis of values for giving...

    Text Solution

    |

  17. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

    Text Solution

    |

  18. Find the particular solution of this differential equation (x^2dy)/(dx...

    Text Solution

    |

  19. A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. Th...

    Text Solution

    |

  20. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |