Home
Class 12
MATHS
Consider triangle A O B in the x-y plane...

Consider triangle `A O B` in the `x-y` plane, where `A-=(1,0,0),B-=(0,2,0)a n d O-=(0,0,0)dot` The new position of `O ,` when triangle is rotated about side `A B` by `90^0` can be a. `(4/5,3/5,2/(sqrt(5)))` b. `((-3)/5,(sqrt(2))/5,2/(sqrt(5)))` c. `(4/5,2/5,2/(sqrt(5)))` d. `(4/5,2/5,1/(sqrt(5)))`

A

`(4/5, 3/5, 2/(sqrt5))`

B

`(-3/5, (sqrt2)/(5), (2)/(sqrt5))`

C

`(4/5, 2/5, (2)/(sqrt5))`

D

`(4/5, 2/5, (1)/(sqrt5))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHMATICS 2012

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|50 Videos
  • IPU QUESTION PAPER 2016

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|49 Videos

Similar Questions

Explore conceptually related problems

Consider triangle AOB in the x-y plane, where A-=(1,0,0),B-=(0,2,0) and O-=(0,0,0) The new position of O, when triangle is rotated about side AB by 90^(0) can be a.((4)/(5),(3)/(5),(2)/(sqrt(5))) b.((-3)/(5),(sqrt(2))/(5),(2)/(sqrt(5))) c.((4)/(5),(2)/(5),(2)/(sqrt(5))) d.((4)/(5),(2)/(5),(1)/(sqrt(5)))

(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0

Show that (1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=0 .

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

If the vertices of a triangle are (sqrt5,0) and (sqrt3,sqrt2) , and (2,1) then the orthocentre of the triangle is

If the vertices of a triangle are (sqrt(5),0),(sqrt(3),sqrt(2)), and (2,1), then the orthocenter of the triangle is

Show that 4sin27^(0)=(5+sqrt(5))^((1)/(2))-(3-sqrt(5))^((1)/(2))

x^(2)+(3-sqrt(5))x-3sqrt(5)=0

If the sides of a right-angled triangle are in A.P., then the sines of the acute angles are 3/5,4/5 b. 1/(sqrt(3)),sqrt(2/3) c. 1/2,(sqrt(3))/2 d. none of these

The square root of (7+3sqrt(5))(7-3sqrt(5)) is sqrt(5)(b)2(c)4(d)3sqrt(5)

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2013-MCQs
  1. The term independent of x in the expansion of (1+ 2x +2/x)^3 is

    Text Solution

    |

  2. The number of six-digit numbers which have sum of their digits as an o...

    Text Solution

    |

  3. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

    Text Solution

    |

  4. How many lines can be drawn which are perpendicular to a given line...

    Text Solution

    |

  5. If A and B are two independent events, then which of the following is ...

    Text Solution

    |

  6. If Un = 2 cos n theta, then U1 Un-U(n-1) is equal to -

    Text Solution

    |

  7. If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...

    Text Solution

    |

  8. The number of values of theta satisfying 4 cos theta+3 sin theta=5 as ...

    Text Solution

    |

  9. A kite is flying with the string inclined at 75^@ to the horizon. If t...

    Text Solution

    |

  10. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

    Text Solution

    |

  11. If the latus rectum of the parabola 2x^(2)- ky + 2 = 0 be 2, then the ...

    Text Solution

    |

  12. If f:(3,4)rarr (0,1) defined by f(x)=x-[x] where [x] denotes the great...

    Text Solution

    |

  13. If f(x) = cos^(-1)[( x - x^(-1))/(x + x^(-1))] then f'( -2) is

    Text Solution

    |

  14. Let f(x) be and even function in R. If f(x) is monotonically increasin...

    Text Solution

    |

  15. If f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))} and f(x gt 0, for all x in R,the...

    Text Solution

    |

  16. int (3 + 2 cos x)/(2 + 3 cos x)^(2). dx is equal to

    Text Solution

    |

  17. Differential equation of the family of circles touching the line y=...

    Text Solution

    |

  18. lf a, b, c are non-zero real numbers and the equation ax^2+bx+c+i=0 h...

    Text Solution

    |

  19. If vec a , vec b ,a n d vec c are three mutually orthogonal unit v...

    Text Solution

    |

  20. y^(2) = 4x is a curve and P, Q and r are three points on it, where P =...

    Text Solution

    |