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)))`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Solve (sqrt(5)-1)/(sinx)+(sqrt(10+2sqrt(5)))/(cosx)=8,x in (0,pi/2)

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

Find the length of altitude through A of the triangle A B C , where A-=(-3,0)B-=(4,-1),C-=(5,2)

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

Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) a=(sqrt(2))/5,b=1/(sqrt(5)) (b) a=(sqrt(2))/5,b=5 (c) a=(sqrt(2))/5,b=-1/(sqrt(5)) (d) a=(sqrt(2))/5, b=sqrt(5)

In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB sinC is equal to (a) 2/(sqrt(5)) (b) (2sqrt(5))/7 (2sqrt(5))/9 (d) 2/(3sqrt(5))

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

Which of the following is the value of sin 27^0-cos 27^0? (a) -(sqrt(3-sqrt(5)))/2 (b) (sqrt(5-sqrt(5)))/2 (c) -(sqrt(5)-1)/(2sqrt(2)) (d) none of these

In A B C , the coordinates of the vertex A are (4,-1) , and lines x-y-1=0 and 2x-y=3 are the internal bisectors of angles Ba n dC .Then, the radius of the encircle of triangle A B C is (a) 4/(sqrt(5)) (b) 3/(sqrt(5)) (c) 6/(sqrt(5)) (d) 7/(sqrt(5))

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to...

    Text Solution

    |

  2. The plane vec rdot vec n=q will contain the line vec r= vec a+lambd...

    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. Let vec a= hat i+ hat j and vec b=2 hat i- hat k , then the point of ...

    Text Solution

    |

  5. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

    Text Solution

    |

  6. The equation of the plane which passes through the line of intersect...

    Text Solution

    |

  7. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

    Text Solution

    |

  8. The ratio in which the line segment joining the points whose positio...

    Text Solution

    |

  9. The number of planes that are equidistant from four non-coplanar point...

    Text Solution

    |

  10. In a three-dimensional coordinate system, P ,Q , and Rare images of a...

    Text Solution

    |

  11. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  12. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  13. The point of intersection of the line passing through (0,0,1) and ...

    Text Solution

    |

  14. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...

    Text Solution

    |

  15. Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...

    Text Solution

    |

  16. The reflection of the point vec a in the plane vec rdot vec n=q is...

    Text Solution

    |

  17. Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...

    Text Solution

    |

  18. If a line makes an angle of pi/4 with the positive direction of ea...

    Text Solution

    |

  19. Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...

    Text Solution

    |

  20. A plane which prependicular totwo planes 2x-2y+z=0and x-y+2z=4 passes ...

    Text Solution

    |