Home
Class 12
MATHS
The equation (x^(2)+y^(2))(h^(2)+k^(2)-a...

The equation `(x^(2)+y^(2))(h^(2)+k^(2)-a^(2))=(hx+ky)^(2)` represents a pair of perpendicular lines if

A

`h^(2)+k^(2)=2a^(2)`

B

`(h+k)(h-k)=2a^(2)`

C

`h^(2)+k^(2)=a^(2)`

D

`h^(2)+k^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|58 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • MODEL QUESTION PAPER-II

    TARGET PUBLICATION|Exercise MCQs|49 Videos
  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

Similar Questions

Explore conceptually related problems

Equation x^(2) +k_(1)y^(2) +2k_(2)y = a^(2) represents a pair of perpendicular straight lines if

The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines if

The equation x^(2)+k_(1)y^(2)+k_(2)xy=0 represents a pair of perpendicular lines if

If the equation x^(4)+bx^(3)y+cx^(2)y^(2)+dxy^(3)+ey^(4)=0 represent two pairs of perpendicular lines, then

If 12x^(2)+7xy+by^(2)+gx+7y-1=0 represents a pair of perpendicular lines then

If the equation (kx+y)^(2)=k(x^(2)+y^(2)) represents a pair of perpendicular lines, then k=

Equation x^(2)+m_(1)y^(2)+m_(2)xy=0 jointly represents a pair of perpendicular lines if

If x^(2)+alpha y^(2)+2 beta y=a^(2) represents a pair of perpendicular lines,then beta=

If the equation x^(2)+py^(2)+y=a^(2) represents a pair of perpendicular lines,then the point of intersection of the lines is

TARGET PUBLICATION-PAIR OF STRAIGHT LINES-CRITICAL THINKING
  1. The lines a^2x^2+bcy^2=a(b+c)xy will be coincident , if

    Text Solution

    |

  2. If the lines (p-q)x^2+2(p+q)xy+(q-p)y^2=0 are mutually perpendicular ,...

    Text Solution

    |

  3. The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicula...

    Text Solution

    |

  4. The angle between the lines given by the equation alphay^(2)+(1-alpha^...

    Text Solution

    |

  5. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  6. If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines ...

    Text Solution

    |

  7. If the equation hxy + gx + fy + c = 0 represents a pair of straight li...

    Text Solution

    |

  8. The angle between the pair of straight lines 2x^2+5xy+2y^2+3x+3y+1=0 i...

    Text Solution

    |

  9. If the angle between the pair of straight lines represented by the equ...

    Text Solution

    |

  10. If the angle between the two lines given by ax^(2)+2hxy+by^(2)+2gx+2fy...

    Text Solution

    |

  11. The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a ...

    Text Solution

    |

  12. Lines represented by 9x^(2)+y^(2)+6xy-4=0 are

    Text Solution

    |

  13. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

    Text Solution

    |

  14. Equation x^(2) +k(1)y^(2) +2k(2)y = a^(2) represents a pair of perpend...

    Text Solution

    |

  15. The equation (x^(2)+y^(2))(h^(2)+k^(2)-a^(2))=(hx+ky)^(2) represents a...

    Text Solution

    |

  16. The equation 2x^2+4xy-py^2+4x+qy+1=0 will represent two mutually perpe...

    Text Solution

    |

  17. If 12x^(2)+7xy+by^(2)+gx+7y-1=0 represents a pair of perpendicular lin...

    Text Solution

    |

  18. If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...

    Text Solution

    |

  19. If two sides of a triangle are represented by x^27xy+6y^2=0 and the ce...

    Text Solution

    |

  20. The lines (lx+my)^2-3(mx-ly)^2=0 and lx+my+n=0 forms

    Text Solution

    |