Home
Class 12
MATHS
The position vectors of vertices of tria...

The position vectors of vertices of `triangle ABC` are `(1, -2), (-7,6) and (11/5, 2/5)` respectively. The measure of the interior angle A of the `triangle ABC,` is,

A

`(75^(@), 90^(@))`

B

`(60^(@), 75^(@))`

C

`(45^(@), 60^(@))`

D

`(120^(@), 150^(@))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 91

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 93

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The position vectors of vertices of /_ABC are (1,-2),(-7,6) and ((11)/(5),(2)/(5)) respectively.The measure of the interior angle A of the /_ABC, is,

The vertices of a triangle ABC are (2,1),(5,2) and (3,4) respectively.The circumcentre is the point

If the position vectors of the vertices a, B and C of a Triangle ABC be (1, 2, 3), (-1, 0, 0) and (0, 1, 2) respectively then find angleABC .

The vertices of the triangle ABC are A(1, 2), B (0, 0) and C (2, 3), then the greatest angle of the triangle is

If the coordinates of the vertices of triangle ABC are (-1,6),(-3,-9) and (5,-8) respectively,then find the equation of the median through C.

NTA MOCK TESTS-NTA JEE MOCK TEST 92-MATHEMATICS
  1. Consider the intergral A=int(0)^(1)(e^(x)-1)/(x)dx and B=int(0)^(1)(x)...

    Text Solution

    |

  2. If a, b in R satisfy the equation a^(2)+4b^(2)-4=0, then the minimum v...

    Text Solution

    |

  3. The equation of the curve satisfying the differential equation x^(2)dy...

    Text Solution

    |

  4. The domain of f(x)=(x)/(16-x^(2))+log(2)(x^(3)-2x) is

    Text Solution

    |

  5. Let p.q and r be three statements, then (~prarrq)rarr r is equivalent ...

    Text Solution

    |

  6. The value of lim(xrarr(pi)/(2))([(x)/(3)])/(ln(1+cotx)) is equal to (w...

    Text Solution

    |

  7. A data consists of n observations : x(1), x(2),……, x(n). If Sigma(i=1)...

    Text Solution

    |

  8. Which of the following is a correct statement ?

    Text Solution

    |

  9. The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3 i...

    Text Solution

    |

  10. The number of ways in which four different toys and five indistinguish...

    Text Solution

    |

  11. If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progressio...

    Text Solution

    |

  12. The position vectors of vertices of triangle ABC are (1, -2), (-7,6) a...

    Text Solution

    |

  13. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

  14. The area (in sq. units) bounded by the curve y=|x-pi|+|x-e|, the ordin...

    Text Solution

    |

  15. If z and w are complex numbers satisfying barz+ibarw=0 and amp(zw)=pi,...

    Text Solution

    |

  16. If |(2+x,x,x^(2)),(x,2+x,x^(2)),(x^(2),x,2+x)|=(1)/(6)(x-a)(x-b)(x-c)(...

    Text Solution

    |

  17. If I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (wher...

    Text Solution

    |

  18. If f:R rarr [(pi)/(3), pi) defined by f(x)=cos^(-1)((lambda-x^(2))/(x^...

    Text Solution

    |

  19. The number of solutions of the equation tan x+secx=2 cos x lying in th...

    Text Solution

    |

  20. Tangents are drawn from any point on the directrix of y^(2)=16x to the...

    Text Solution

    |