Home
Class 12
MATHS
If a normal chord of a parabola y^(2) =...

If a normal chord of a parabola `y^(2) = 4ax` subtends a right angle at the origin, then the slope of that normal chord is

A

`+-2`

B

`+-2 sqrt2`

C

`+-(1)/(sqrt2)`

D

`+-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|77 Videos
  • ONLINE QUESTION PAPER 2018

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|318 Videos

Similar Questions

Explore conceptually related problems

If a normal chord of a puint on the parabola y^(2) = 4ax , subtends a right angle at the vertex, then t =

If normal chord a point 't' on the parabola y(2)=4ax subtends a right angle at vertex, then prove that t=+_sqrt(2)

If a normal chord at a poit t( ne 0) on the parabola y^(2) = 9x subtends a right angle at its vertex, then t =

If the normal chord drawn at the point P(t) to the parabola y^(2) = 4ax subtends a right angle at the focus, then show that , = pm2

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER -Mathematics
  1. From a point P on the line 4x-5y=6 two tangents are drawn to the circl...

    Text Solution

    |

  2. If (-1,-1) is the focus and x + y + 3=0 is the directrix of a parabola...

    Text Solution

    |

  3. If a normal chord of a parabola y^(2) = 4ax subtends a right angle at...

    Text Solution

    |

  4. If origin is the centre, X-axis is the major axis and sqrt((2)/(5)) is...

    Text Solution

    |

  5. The slope of a common tangent to the ellipse (x^(2))/(49) + (y^(2))/(4...

    Text Solution

    |

  6. The distance between the tangents drawn to the hyperbola 3x^(2) -y^(2)...

    Text Solution

    |

  7. If the distance between two points A and B is d, and the lengths of th...

    Text Solution

    |

  8. L is a line passing through the point A(1, 0, -3) and parallel to a li...

    Text Solution

    |

  9. Let pi(1) be the plane passing through the points (0,1,2), (1,0,-2), (...

    Text Solution

    |

  10. underset(x rarr 0)(lim) (cos 4x - 4 cos 2x + 3)/(x^(4)) =

    Text Solution

    |

  11. If alpha = underset(x rarr 0)Lt (x.2^(x) -x)/(1 - cos x) and beta = un...

    Text Solution

    |

  12. If f(x) = (2)/(4 + 3|x|), x in R, then f(0) =

    Text Solution

    |

  13. If f is a real function such that f(4) = 4 and f'(4) = 16, " then " un...

    Text Solution

    |

  14. If y= (sin^(-1) 2x)^(2) + (cos^(-1) 2x)^(2), then (1-4x^(2))y(2) - 4xy...

    Text Solution

    |

  15. Let f(x) = x^(3) + 2x^(2) -x be a real valued function. Then, the valu...

    Text Solution

    |

  16. int Tan^(-1)((2x)/(1-x^(2)))dx=

    Text Solution

    |

  17. The angle between the curves y= sin 2x and y = cos 2x is

    Text Solution

    |

  18. The ratio between the length of substangent at any point other than or...

    Text Solution

    |

  19. int(dx)/(sqrt((x-1)(x-2)))

    Text Solution

    |

  20. If int (x^(4) + 1)/(x^(6) + 1) dx = A tan^(-1) x + B tan^(-1) x^(3) + ...

    Text Solution

    |