Home
Class 12
MATHS
Shifting of origin (0,0) to (h,k) f(x,...

Shifting of origin (0,0) to (h,k)
`f(x,y)tof(x+h,y+k)`
Rotation of axes through an angle `theta`
Axes area rotated through a +ive obtuse agle `theta` so that the transformed equation of the curve `3x^(2)-6xy+3y^(2)+7x-3=0` isfree from the term of xy then the coefficint of `x^(2)` inthe transformed equation is .......

Text Solution

AI Generated Solution

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

Find the transformed equation of the curve : x^(2)+y^(2)+4x-6y+16=0 when the origin is shifted to the point (-2,3) .

13.When the axes are rotated through an angle 45^@ , the transformed equation of a curve is 17x^(2)-16xy+17y^(2)=225 .Find the original equation of the curve.

if the axes are rotated through 60 in the anticlockwise sense,find the transformed form of the equation x^(2)-y^(2)=a^(2)

The transformed equation of the curve 3x^(2)+10xy+3y^(2)=9 when the axes are rotated through an angle is Ax^(2)+By^(2)=9 then A+B=

If origin is shifted to the point (-1,2) then what will be the transformed equation of the curve 2x^(2)+y^(2)-3x+4y-1=0 in the new axes ?

When the origin is shifted to the point (5,-2) then the transformed equation of the curve xy+2x-5y+11=0 is XY=K then k is

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

    |