Home
Class 11
MATHS
Let P Q R be a right-angled isosceles t...

Let `P Q R` be a right-angled isosceles triangle, right angled at `P(2,1)dot` If the equation of the line `Q R` is `2x+y=3` , then the equation representing the pair of lines `P Q` and `P R` is `3x^2-3y^2+8x y+20 x+10 y+25=0` `3x^2-3y^2+8x y-20 x-10 y+25=0` `3x^2-3y^2+8x y+10 x+15 y+20=0` `3x^2-3y^2-8x y-15 y-20=0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)dot If the equation of the line Q R is 2x+y=3 , then the equation representing the pair of lines P Q and P R is (a) 3x^2-3y^2+8x y+20 x+10 y+25=0 (b) 3x^2-3y^2+8x y-20 x-10 y+25=0 (c) 3x^2-3y^2+8x y+10 x+15 y+20=0 (d) 3x^2-3y^2-8x y-15 y-20=0

The equation of the line with gradient -3/2 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0

The equation of the circle of radius 5 in the first quadrant which touches the x-axis and the line 3x-4y=0 is x^2+y^2-24 x-y-25=0 x^2+y^2-30 x-10 y+225=0 x^2+y^2-16 x-18 y-64=0 x^2+y^2-20 x-12 y+144=0

if the line 4x +3y +1=0 meets the parabola y^2=8x then the mid point of the chord is

The equation of the tangent to the parabola y^(2)=8x and which is parallel to the line x-y+3=0 is

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 is

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (1) 3x^2+8x y-3y^2=0 (2) 3x^2+10 x y+3y^2=0 (3) y^2+2x y-3x^2=0 (4) x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by 3x^2+8x y-3y^2=0 3x^2+10 x y+3y^2=0 y^2+2x y-3x^2=0 x^2+2x y-3y^2=0

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of p and q .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. int{(2 - 3sinx)/cos^2x}

    Text Solution

    |

  2. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

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

    Text Solution

    |

  4. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

    Text Solution

    |

  5. Find the equation of the bisectors of the angles between the lines ...

    Text Solution

    |

  6. If theta is the angle between the lines given by the equation 6x^2+5x ...

    Text Solution

    |

  7. The distance of a point (x1, y1) from two straight lines which pass th...

    Text Solution

    |

  8. Prove that the product of the perpendiculars from (alpha,beta) to the ...

    Text Solution

    |

  9. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0

    Text Solution

    |

  10. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

    Text Solution

    |

  11. The product of the perpendiculars from origin to the pair of lines a x...

    Text Solution

    |

  12. Find the angle between the straight lines joining the origin to the ...

    Text Solution

    |

  13. Through a point A(2,0) on the x-axis, a straight line is drawn paralle...

    Text Solution

    |

  14. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

    Text Solution

    |

  15. Does equation x^2+2y^2-2sqrt(3)x-4y+5=0 satisfies the condition a b c+...

    Text Solution

    |

  16. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represents...

    Text Solution

    |

  17. Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+...

    Text Solution

    |

  18. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  19. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0 u...

    Text Solution

    |

  20. If the component lines whose combined equation is px^(2)-qxy-y^(2)=0 m...

    Text Solution

    |