Home
Class 12
MATHS
If a!=0 and the line 2b x+3c y+4d=0 pass...

If `a!=0` and the line `2b x+3c y+4d=0` passes through the points of intersection of the parabolas `y^2=4a x` and `x^2=4a y ,` then

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (b) perpendicular to the line 7x + 2y - 5 = 0

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (a) parallel to the line 7x+2y-5=0

Find the angle of intersection of the curves: x^2+y^2-4x-1=0 and x^2+y^2 - 2y - 9 =0

Find the equation of a straight line passing through the point of intersection of the lines : 3x +y-9 =0 and 4x + 3y-7=0 and perpendicular to the line 5x -4y + 1 =0.

Find the equation of the line passing through the point of intersection of the lines 4x + 7y-3 = 0 and 2x -3y +1=0 that has equal intercepts on the axes.

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

Find the equation of the lines passing through the point of intersection of x+2y=5 and x-3y=7 and passing through : (1,0).

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

    Text Solution

    |

  2. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

    Text Solution

    |

  3. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of int...

    Text Solution

    |

  4. Evaluate int 18x^2 dx.

    Text Solution

    |

  5. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |

  6. Evaluate int 22x^2 dx.

    Text Solution

    |

  7. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

    Text Solution

    |

  8. Evaluate int 23x^2 dx.

    Text Solution

    |

  9. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

    Text Solution

    |

  10. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  11. If two different tangents to y^2=4x are the normals to x^2=4 by, then

    Text Solution

    |

  12. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  13. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  14. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

    Text Solution

    |

  15. Find the length of the side of an equilateral traingle inscribed in th...

    Text Solution

    |

  16. Let C be a circle with center (0,1) and radius unity. P is the parabol...

    Text Solution

    |

  17. Evaluate int 24x^2 dx.

    Text Solution

    |

  18. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  19. Evaluate int 25x^2 dx.

    Text Solution

    |

  20. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |