Home
Class 12
MATHS
Let PQR be a right-angled isosceles tria...

Let PQR be a right-angled isosceles 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+20=0`

D

`3x^(2)-3y^(2)-8xy-10x-15y-20=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

Let PQR be a right angled isosceles triangle right angled at P(2,1) if the equation of the line QR is 2x+y=3 then the equation repersenting PQ and PR is

ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2AC^(2) .

PQR is a triangle, right angled at P. If PQ=10cm and PR=24cm, Find QR.

If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines then

The equation of the image of the pair of lines y =|x| by the line x =1 is

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

The equation a x^(2)+b y^(2)+c x+c y=0, c ne 0 represents a pair of lines, if

If the lines 2 x^(2)+7 x y+3 y^(2)-9 x-7 y+k=0 represents a pair of lines, then k=

Condition that a pair of lines are at right angle is

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. The equation of a straight line passing through the point (-5, 4) and ...

    Text Solution

    |

  2. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  3. Let PQR be a right-angled isosceles triangle right-angled at P(2, 1). ...

    Text Solution

    |

  4. If the quadrilateral formed by the lines ax+by+cz=0, ax+b'y+c=0, a'x+...

    Text Solution

    |

  5. If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocent...

    Text Solution

    |

  6. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  7. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |

  8. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  9. A (1, 3) and C(7, 5) are two opposite vertices of a square. The equati...

    Text Solution

    |

  10. The diagonals of a parallelogram PQRS are along the line x+3y=4 and 6x...

    Text Solution

    |

  11. Let n be the number of points having rational co-ordinates equidistant...

    Text Solution

    |

  12. If the vertices of an equilateral triangle have rational co-ordinates...

    Text Solution

    |

  13. If the lines y=m(r )x, r=1, 2, 3 cut off equal intercepts on the trans...

    Text Solution

    |

  14. If a=(tan theta)/(tan 3theta), then the point P(a, a^(2)) :

    Text Solution

    |

  15. If two sides of a triangle are represented by : 2x-3y+4=0 and 3x+2y-...

    Text Solution

    |

  16. The distance of the point (1, 2) from the line x+y=0 measured parallel...

    Text Solution

    |

  17. If a, b, c are the pth, qth and rth terms of an H.P., then the lines b...

    Text Solution

    |

  18. If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 i...

    Text Solution

    |

  19. A ray of light coming from the point (1, 2) is reflected at a point A ...

    Text Solution

    |

  20. If two vertices of an equilateral triangle have integral co-ordinates,...

    Text Solution

    |