Home
Class 12
MATHS
If a chord of the parabola y^(2)=4x pass...

If a chord of the parabola `y^(2)=4x` passes through its focus and makes an angle `theta` with the X-axis then its length is

A

`4 cos^(2) theta`

B

`4 sin^(2) theta`

C

`4cosec^(2) theta`

D

`sec^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|50 Videos
  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-1|4 Videos
  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-4|4 Videos
  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos

Similar Questions

Explore conceptually related problems

If the line segment joining the vertex of the parabola y^(2)=4ax and a point on the parabola, makes an angle theta with the positive X -axis, then the length of that line segment is

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

The focus of the parabola y^(2)-4y-8x-4=0 is

If the parabola y^(2)=4ax passes through (-3,2) then the length of its latusrectum is

Point on the parabola y^(2)=8x the tangent at which makes an angle (pi)/(4) with axis is

The length of the chord of the parabola x^(2) =4ay passing through the vertex and having slope Tan alpha is

The length of the chord of the parabola x^(2)=4ay passing through the vertex and having slope tan alpha is

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

    Text Solution

    |

  2. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

    Text Solution

    |

  3. If a chord of the parabola y^(2)=4x passes through its focus and makes...

    Text Solution

    |

  4. The length of the chord of the parabola x^(2)=4ay passing through the ...

    Text Solution

    |

  5. In the parabola y^(2)= 4ax the length of the chord passing through th...

    Text Solution

    |

  6. The length of chord intercepted by the parabola y=x^(2)+3x on the line...

    Text Solution

    |

  7. If the line y = mx + a meets the parabola x^(2)=4ay in two points whos...

    Text Solution

    |

  8. Prove that the portion or the tangent intercepted,between the point of...

    Text Solution

    |

  9. The subnormal of the parabola y^(2)=4ax is equal to

    Text Solution

    |

  10. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

    Text Solution

    |

  11. If the chord y = mx +c subtends a right angle at the vertex of the par...

    Text Solution

    |

  12. If P is a point on the parabola y^(2)=8x and A is the point (1,0) then...

    Text Solution

    |

  13. The locus of the point of intersection of two tangents to the parabola...

    Text Solution

    |

  14. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

    Text Solution

    |

  15. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

    Text Solution

    |

  16. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

    Text Solution

    |

  17. If P (at(1)^(2),2at(1)) and Q (at(2)^(2),2at(2)) are two variable poin...

    Text Solution

    |

  18. The length of the chord of contact of tangents drawn from (x(1),y(1)) ...

    Text Solution

    |

  19. The area of the triangle formed by the tangents and chord of contact f...

    Text Solution

    |

  20. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

    Text Solution

    |