Home
Class 12
MATHS
If a normal to a parabola y^2 =4ax makes...

If a normal to a parabola `y^2 =4ax` makes an angle `phi` with its axis, then it will cut the curve again at an angle

A

`psi/2`

B

`tan^-1 (2 tan psi)`

C

`tan ^-1 ( 1/2 tan psi)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Indefinite Integration of Rational and irrational functions

    A DAS GUPTA|Exercise EXERCISE|85 Videos

  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos

Similar Questions

Explore conceptually related problems

If the normal to a parabola y^2=4ax , makes an angle with the axis then it will cut the curve again at an angle.

If the normal chord of the parabola y^(2)=4 x makes an angle 45^(@) with the axis of the parabola, then its length, is

Two tangents to parabola y ^(2 ) = 4ax make angles theta and phi with the x-axis. Then find the locus of their point of intersection if sin (theta - phi) =2 cos theta cos phi.

The length of a focal chord of the parabola y^(2)=4ax making an angle theta with the axis of the parabola is (a>0) is:

Two tangents to the parabola y^(2)=4ax make supplementary angles with the x-axis.Then the locus of their point of intersection is

Show that the focal chord, of parabola y^2 = 4ax , that makes an angle alpha with the x-axis is of length 4a cosec^2 alpha .

" A normal is drawn to parabola " y^(2)=4ax " at any point "P" ,other than vertex.If it cuts the parabola again at a point "Q" .Then minimum length of "PQ" is"

A DAS GUPTA-Integrated Tests-Exercise
  1. Fill in the blanks in each of the following so that the resulting stat...

    Text Solution

    |

  2. Fill in the blanks in each of the following so that the resulting stat...

    Text Solution

    |

  3. If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...

    Text Solution

    |

  4. Let C be any circle with centre ( 0, sqrt( 2)). Prove that at most two...

    Text Solution

    |

  5. A discontinuous function y = f(x) satisfying x^2 + y^2= 4 is given b...

    Text Solution

    |

  6. An ellipse has OB as a semi-minor axis, F and F' are its two foci and ...

    Text Solution

    |

  7. A die is thrown three times and the sum of the 3 numbers shown is 15. ...

    Text Solution

    |

  8. Fill in the blanks ine ach of the following so that that resulting sen...

    Text Solution

    |

  9. The equation x e^(x) = 2 has

    Text Solution

    |

  10. A function f(x)=x[1+(1/3) sin (Inx^2)], x != 0. integral part f(0)=0. ...

    Text Solution

    |

  11. Prove that sum(k=1)^(n-1)(n-k)cos(2kpi)/n=-n/2,w h e r engeq3i sa nin...

    Text Solution

    |

  12. ABC is an isosceles triangle inscribed in a circle of radius r , if AB...

    Text Solution

    |

  13. Let z1 and z2 be the root of the equation z^2+pz+q=0 where the coeffic...

    Text Solution

    |

  14. Let f(x) = {{:({1+|sin x|}^(a//|sin x|)", " pi/6 lt x lt 0),(" ...

    Text Solution

    |

  15. Determine the constant c such that the straight line joining the point...

    Text Solution

    |

  16. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  17. If x^2+px=q is an integer for every integral value of x then which is ...

    Text Solution

    |

  18. If theta is the angle between the unit vectors hat a and hat b then co...

    Text Solution

    |

  19. A bag A contains 2 white and 3 red balls and a bag B contains 4 white ...

    Text Solution

    |

  20. If (1 + x + x^(2) + x^(3))^(n)= a(0) + a(1)x + a(2)x^(2) + a(3) x^(3) ...

    Text Solution

    |