Home
Class 12
MATHS
The straight line ax + by = 1 makes with...

The straight line `ax + by = 1` makes with the curve `px^2 + 2axy + qy^2 = r`, a chord which subtends aright angle at the origin. Then

A

`r(b^(2)+q^(2))=p+a`

B

`r(b^(2)+p^(2))=p+q`

C

`r(a^(2)+b^(2))=p+q`

D

`(a^(2)+p^(2))r=q+b`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

The straight line px+qy=1 makes the ax^2+2hxy+by^2=c , a chord which subtends a right angle at the origin . Show that c(p^2+q^2) =a+b . Also show that px+qy=1 touches a circle whose radius is sqrt(c/(a+b))

The straight line lx+my=1 intersects px^(2)+2qxy+ry^(2)=s at AB.Chord AB subtends a right angle at the origin.If lx+my=1 is a tangent to a circle x^(2)+y^(2)=a^(2), then a=

All the chords of the curve 2x^(2) + 3y^(2) - 5x =0 which subtend a right angle at the origin are concurrent at :

All the chords of the curve 2x^(2)+3y^(2)-5x=0 which subtend a right angle at the origin are concurrent at :

The locus of the midpoint of the chord of the circle x^2 + y^2 =4 which subtends a right angle at the origin is?

The locus of the midpoint of chord of the circle x^(2)+y^(2)=1 which subtends a right angle at the origin is

The locus of the mid points of a chord the circle x^(2)+y^(2)=18 which subtends right angle at the origin is

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. The line 5x + 4y = 0 passes through the point of intersection of strai...

    Text Solution

    |

  2. The equation of the base of an equilateral triangle is x+y=2 and its v...

    Text Solution

    |

  3. A ray of light is sent along the line which passes through the point (...

    Text Solution

    |

  4. Line a x+b y+p=0 makes angle pi/4 with cosalpha+ycosalpha+ysinalpha=p ...

    Text Solution

    |

  5. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

    Text Solution

    |

  6. in a triangle ABC, if A is (1, 2) and the equations of the medians thr...

    Text Solution

    |

  7. The equation of straight line equally inclined to the axes and equidis...

    Text Solution

    |

  8. A line passing through (0,0) and perpendicular to 2x+y+6=0,4x+2y-9=0 t...

    Text Solution

    |

  9. The centroid of the triangle formed by the pair of straight lines 12x^...

    Text Solution

    |

  10. 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

    |

  11. If a , ba n dc are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  12. The straight line ax + by = 1 makes with the curve px^2 + 2axy + qy^2 ...

    Text Solution

    |

  13. the lines L1 and L2 denoted by 3x^2 + 10xy +8y^2 +14x +22y + 15 =...

    Text Solution

    |

  14. The equation of the lines through the origin and which are perpendicul...

    Text Solution

    |

  15. A ray of light is sent along the line x-2y-3=0 on reaching the line 3x...

    Text Solution

    |

  16. The mid-point of the line segment joirning (3, -1) and (1, 1) is shift...

    Text Solution

    |

  17. Sum of the possible values of lamda for which the following threes lin...

    Text Solution

    |

  18. The ends A and B of a straight line segment of constant length c slide...

    Text Solution

    |

  19. The value of h for which 3x^2-2hxy + 4y^2 = 0 represents a pair of coi...

    Text Solution

    |

  20. Distance between the pari of straight lines x^(2)+6xy+9y^(2)+4x+12y-5=...

    Text Solution

    |