Home
Class 11
MATHS
Let PQR be right angled isoscles triangl...

Let PQR be right angled isoscles triangle right angled at P (2,1). If the equation of the line QR is 2x+y=3. Then the equation representing the pair of lines PQ and PR is

A

`3x^2-3y^2+8xy+20x+10y+25=0`

B

`3x^2-3y^2+8xy-20x-10y+25=0`

C

`3x^2-3y^2+8xy+10x+15y+25=0`

D

`3x^2-3y^2-8xy-15y-20=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXAMPLE|7 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Let PQR be a right angle isosceles triangle, right angle at P(2, 1). If the equation of the line QR is 2x+y=3 , then the equation representing the pair of lines PQ and PR is

In a right angled triangle ABC, right angled at C, if tan A = 1, then verify that 2 sin A. cos A = 1.

Which is the longest side in the triangle PQR right angled at P?

Find the equation of pair of bisectors of the angles between the pair of lines. 6x^(2)+5xy-6y=0

The equation of the pair of lines through (1,-1) and perpendicular to the pair of lines x^2-xy-2y^2=0 is

The equation of the pair of lines passing through (1,-1) and parallel to the pair of lines x^(2)-y^(2)=0 is

In a triangle PQR with right angle at Q , the value of angle P is x, PQ = 7cm and QR 24 cm , then find sin x and cos x

Find the equation of pair of bisectors of the angles between the pair of lines. 3x^(2)+xy-2y^(2)=0

The acute angles of a right triangle are in the ratio 2 : 3. Find the angles of the triangle.

AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

    Text Solution

    |

  2. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

    Text Solution

    |

  3. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

    Text Solution

    |

  4. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

    Text Solution

    |

  5. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

    Text Solution

    |

  6. The straight lines represented by (y-mx)^2=a^2(1+m^2) and (y-nx)^2 =a^...

    Text Solution

    |

  7. If the equation 2hxy+2gx+2fy+c=0 represents two straight lines and for...

    Text Solution

    |

  8. The distance between the parallel lines given by (x+7y)^(2) +4sqrt(2)(...

    Text Solution

    |

  9. The condition for the equation x^2(lambda+mu)xy+lambdamuy^2+x+muy=0 to...

    Text Solution

    |

  10. Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0. Represents...

    Text Solution

    |

  11. Show that the following equations represents a pair of parallel lines ...

    Text Solution

    |

  12. The angle between the lines joining the origin to the point of interse...

    Text Solution

    |

  13. A pair of perpendicular straight lines passes through the origin and a...

    Text Solution

    |

  14. Show that the lines joining the origin to the two points of intersecti...

    Text Solution

    |

  15. Let PQR be right angled isoscles triangle right angled at P (2,1). If ...

    Text Solution

    |

  16. All chords of a curve 3x^(2)-y^(2)-2x+4y=0 which subtends a right angl...

    Text Solution

    |

  17. If the line y=sqrt3x " cuts the curve " x^3+y^3+3xy+5x^2+3y^2+4x+5y-1=...

    Text Solution

    |

  18. The line x+y=1 meets the lines represented by equation y^2-6cy^2+11x^2...

    Text Solution

    |

  19. If x/a+y/b=1 " intersects " 5x^2+5y^2+5bx+5ay-9ab=0 at P and Q, angleP...

    Text Solution

    |

  20. If the lines represented by the equation 3y^2-x^2+2sqrt3x-3=0 are rota...

    Text Solution

    |