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

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

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:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL-2 (single correct answer type questions )|10 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|14 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 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 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

MCGROW HILL PUBLICATION-PARABOLA-SOLVED EXAMPLES LEVEL-1 (single correct answer type questions )
  1. If x+y=k is a normal to the parabola y^(2)=12x, then the value of k is...

    Text Solution

    |

  2. If a normal chord at a point on the parabola y^(2)=4ax subtends a righ...

    Text Solution

    |

  3. The slopes of the normals to the parabola y^2=4ax intersecting at a p...

    Text Solution

    |

  4. If the focus of a parabola divides a focal chord in segments of lengt...

    Text Solution

    |

  5. P is a point on the parabola whose ordinate equals its abscissa. A nor...

    Text Solution

    |

  6. the equation of the parabola whose focus is the point (0,0) and the ta...

    Text Solution

    |

  7. The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola...

    Text Solution

    |

  8. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

    Text Solution

    |

  9. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  10. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  11. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  12. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  13. The locus of a point P(alpha beta) moving under the condition that the...

    Text Solution

    |

  14. The point of intersection of the normals to the parabola y^2=4x at the...

    Text Solution

    |

  15. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

    Text Solution

    |

  16. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  17. Let y^(2)=16 be a given parabola and L be an extremity of its latus re...

    Text Solution

    |

  18. The locus of the mid-point of the chords of the parabola x^(2)=4py hav...

    Text Solution

    |

  19. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  20. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

    Text Solution

    |