Home
Class 12
MATHS
If parabolas y^2=lambdax and 25[(x-3)^2+...

If parabolas `y^2=lambdax` and `25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2` are equal, then the value of `lambda` is

A

3

B

6

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 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

If parabolas y^(2)=lambda x and 25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are equal,then the value of lambda is 9(b)3(c)7 (d) 6

If the parabola y^(2)=(lambda x)/(4) and 25((x-3)^(2)+(y+2)^(2))=(3x-4y-2)^(2) are equal then lambda =

The intercepts made by the line y=x+lambda on the circles x^(2)+y^(2)-4=0 and x^(2)+y^(2)-10x-14y+65=0 are equal,then the value of 2 lambda-3 is

If a parabola is represented by 25(x^(2)+y^(2))=(4x-3y-12)^(2), then

If the plane 2x-y+2z+3=0 has the distances (1)/(3) and (2)/(3) units from the planes 4x-2y+4z+lambda=0 and 2x-y+2z+mu=0 , respectively, then the maximum value of lambda+mu is equal to

If 4(x-sqrt2)^(2)+lambda(y-sqrt3)^(2)=45 and (x-sqrt2)^(2)-4(y-sqrt3)^(2)=5 cut orthogonally, then integral value of lambda is ________.

If the lines (x-1)/(1)=(y-3)/(1)=(z-2)/(lambda) and (x-1)/(lambda)=(y-3)/(2)=(z-4)/(1) intersect at a point, then the value of lambda^(2)+4 is equal to

If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25 , what is the value of xy?

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

Chords of the circle x^(2)+y^(2)=4 , touch the hyperbola (x^(2))/(4)-(y^(2))/(16)=1 .The locus of their middle-points is the curve (x^(2)+y^(2))^(2)=lambdax^(2)-16y^(2) , then the value of lambda is

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. A common tangent is drawn to the circle x^2+y^2=a^2 and the parabola y...

    Text Solution

    |

  2. The equation of parabola whose vertex and focus lie on the axis of x a...

    Text Solution

    |

  3. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

    Text Solution

    |

  4. ABCD and EFGC are squares and the curve y=ksqrtx passes through the or...

    Text Solution

    |

  5. Let A and B be two points on a parabola y^2 = x with vertex V such th...

    Text Solution

    |

  6. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

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

    Text Solution

    |

  11. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  12. If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...

    Text Solution

    |

  13. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  14. The largest value of a for which the circle x^2 +y^2 = a^2 falls total...

    Text Solution

    |

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

    Text Solution

    |

  16. If two different tangents of y^2=4x are the normals to x^2=4b y , then

    Text Solution

    |

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

    Text Solution

    |

  18. Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...

    Text Solution

    |

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

    Text Solution

    |

  20. An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...

    Text Solution

    |