Home
Class 11
MATHS
Statement-l: If the diagonals of the qua...

Statement-l: If the diagonals of the quadrilateral formed by the lines `px+ gy+ r= 0, p'x +gy +r'= 0, p'x +q'y +r'= 0`, are at right angles, then `p^2 +q^2= p^2+q^2`. Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other.

Text Solution

AI Generated Solution

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

If all the roots of x^3 + px + q = 0 p,q in R,q != 0 are real, then

If p != 0, q != 0 and the roots of x^(2) + px +q = 0 are p and q, then (p, q) =

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then p^2=q^2 (b) p^2=8q^2 p^2 8q^2

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then p^2=q^2 (b) p^2=8q^2 p^2 8q^2

if p: q :: r , prove that p : r = p^(2): q^(2) .

If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, then prove that p+q+r=0 (where p ,q ,r are distinct ) .

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :

Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is the line qx+py+(p+q-r)=0, where p!= -q .

The equations of the tangents drawn from the origin to the circle x^2 + y^2 - 2px - 2qy + q^2 = 0 are perpendicular if (A) p^2 = q^2 (B) p^2 = q^2 =1 (C) p = q/2 (D) q= p/2

If 2 + isqrt3 is a root of x^(3) - 6x^(2) + px + q = 0 (where p and q are real) then p + q is

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Find the orthocentre of the triangle the equations of whose sides are ...

    Text Solution

    |

  2. If a , b and c are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  3. Statement-l: If the diagonals of the quadrilateral formed by the lines...

    Text Solution

    |

  4. Statement :Two different lines can be drawn passing through two given ...

    Text Solution

    |

  5. Statement 1: The internal angle bisector of angle C of a triangle A B ...

    Text Solution

    |

  6. The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e., x^2+y^2=0 ...

    Text Solution

    |

  7. Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(...

    Text Solution

    |

  8. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  9. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

    Text Solution

    |

  10. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

    Text Solution

    |

  11. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |

  12. the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...

    Text Solution

    |

  13. If the lines joining the origin and the point of intersection of curve...

    Text Solution

    |

  14. Prove that the angle between the lines joining the origin to the point...

    Text Solution

    |

  15. Prove that the straight lines joining the origin to the point of in...

    Text Solution

    |

  16. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

    Text Solution

    |

  17. Find the value of a for which the lines represented by a x^2+5x y+2y^2...

    Text Solution

    |

  18. Find the acute angle between the pair of lines represented by (xcosalp...

    Text Solution

    |

  19. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

    Text Solution

    |

  20. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |