Home
Class 12
MATHS
If a ne 0 and the line 2bx + 3cy + 4d =...

If `a ne 0` and the line `2bx + 3cy + 4d = 0` passes through the points of intersection of the parabolas `y^2 = 4ax` and `x^2 = 4ay` then :

A

`d^(2)+(2b+3c)^(2)=0`

B

`d^(2)+(3b+2c)^(2)=0`

C

`d^(2)+(2b-3c)^(2)=0`

D

`d^(2)+(3b-2c)^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabola y^(2)=4ax and x^(2)=4ay, then

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabolas y^(2)=4ax and x^(2)=4ay, then: d^(2)+(2b+3c)^(2)=0 (b) d^(2)+(3b+2c)^(2)=0d^(2)+(2b-3c)^(2)=0 (d) d^(2)+(3b-2c)^(2)=0

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabolas y^(2)=4ax and x^(2)=4ay, then of (a)d^(2)+(2b+3c)^(2)=0(b)d^(2)+(3b+2c)^(2)=0(c)d^(2)+(2b-3c)^(2)=0 (d)none of these

If the line lx+my+n=0 passes through the point of itersection of the parabolas y^(2)=4ax and x^(2)=4xy then

If the straight line ax+y+6=0 passes through the point ofl intersection of the lines x+y+4=0 and 2x+3y+10=0, find alpha

A line passes through the point of intersection of 2x+y=5 and x+3y+8=0 and paralled to the 3x+4y=7 is

Find the area of the region included between the parabolas y^(2)=4ax and x^(2)=4ay, where a>0

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. If a ne 0 and the line 2bx + 3cy + 4d = 0 passes through the points o...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  5. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |