Home
Class 12
MATHS
If the expression x^(2)+4xy+y^(2) transf...

If the expression `x^(2)+4xy+y^(2)` transforms to `Ax^(2)+By^(2)` by rotation of axes through an angle `theta(0lethetale(pi)/2)` then `theta` is equal to

A

`theta=pi//6`

B

`theta=pi//4`

C

`theta=pi//3`

D

`none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(2)(TRUE AND FALSE)|7 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(2)(fill in the blanks)|2 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(1)(FILL IN THE BLANK)|3 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

  • SELF ASSESSMENT TEST

    ML KHANNA|Exercise OBJECTIVE MATHEMATICS |16 Videos

Similar Questions

Explore conceptually related problems

The transformed equation of x^(2)+6xy+8y^(2)=10 when the axes are rotated through an angled pi//4 is

To remove xy-term from the equation ax^(2)+2hxy+by^(2)=0 the axes should be rotated through an angle theta =( when a!=b )

ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
  1. A variable line through (p,q) cuts the axes of co ordinates at A and B...

    Text Solution

    |

  2. The line L given by x/5+y/b=1 passes through the point (13, 32). Th...

    Text Solution

    |

  3. A variable line cuts the axes of co ordinates in points A and B such t...

    Text Solution

    |

  4. Through the point (5,12) a straight line is drawn to meet the axes is ...

    Text Solution

    |

  5. The line L has intercepts a and b on the coordinate axes. When keeping...

    Text Solution

    |

  6. If the expression x^(2)+4xy+y^(2) transforms to Ax^(2)+By^(2) by rotat...

    Text Solution

    |

  7. The point (4,1) undergoes the following three transformations successi...

    Text Solution

    |

  8. The point (alpha^(2)+2lamda+5,lamda^(2)+1) lies on the line x+y=10 ...

    Text Solution

    |

  9. The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (...

    Text Solution

    |

  10. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |

  11. On the portion of the line x/3+y/4=1 intercepted between the axes a sq...

    Text Solution

    |

  12. P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5...

    Text Solution

    |

  13. If the lie y=xsqrt(3) cuts the curve x^(3)+y^(3)+3xy+5x^(2)+3y^(2)+4x+...

    Text Solution

    |

  14. If the axes are turned through an angle tan^(-1) 2 then the equation 4...

    Text Solution

    |

  15. Consider the lines given by L1 = x + 3y – 5 = 0 L2 = 3x – ky –...

    Text Solution

    |

  16. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

    Text Solution

    |

  17. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

    Text Solution

    |

  18. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

    Text Solution

    |

  19. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

    Text Solution

    |

  20. BE and CF are two medians of DeltaABC whose vertex A is (1,3). The equ...

    Text Solution

    |