Home
Class 12
MATHS
The locus of the point through which pas...

The locus of the point through which pass three normals to the parabola `y^2=4ax`, such that two of them make angles `alpha&beta` respectively with the axis & `tanalpha *tanbeta = 2` is` (a > 0)`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise JEE type solved examples|1 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 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

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-

The locus of points such that two of the three normals drawn from them to the parabola y^ 2 =4ax coincide is

Find the equations of the tangent and normal to the parabola y^2 = 4ax at the point (at^2, 2at)

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at) .

Let P , Q and R are three co-normal points on the parabola y^2=4ax . Then the correct statement(s) is /at

The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the triangle PTN is a parabola whose :

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The locus of the point through which pass three normals to the parabol...

    Text Solution

    |

  2. Let A and B be two finite sets such that n(A) =85, n(B) = 65and n(A ∪ ...

    Text Solution

    |

  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  4. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  5. In a school, all pupils play either Hockey or Football or both. 400 pl...

    Text Solution

    |

  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

    Text Solution

    |

  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

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

    Text Solution

    |

  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

    Text Solution

    |

  14. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  15. In a school, there are 30 teachers who teach Mathematics or Physics. O...

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

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

    Text Solution

    |

  18. Of the 125 students in an elementary school, 89 students play checkers...

    Text Solution

    |

  19. What is the 5th term of this sequence 9, 13, 17, ...?

    Text Solution

    |

  20. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

    Text Solution

    |

  21. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

    Text Solution

    |