Home
Class 12
MATHS
A tangent to the parabola y^2=8x makes a...

A tangent to the parabola `y^2=8x` makes an angle of `45^0` with the straight line `y=3x+5.` Then find one of the points of contact.

A

`x + 2y + 1 = 0`

B

`2x + y + 1 = 0`

C

`x + y + 2 = 0`

D

`x + y + 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the straight line y=3x+5 Then find one of the points of contact.

A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the straight line y=3x+5 Then points of contact are.

A tangent to the parabola y^(2) = 8x makes an angle of 45^(@) with the straight line y = 3x + 5 . Find its equation and its point of contact.

The equation of a tangent to the parabola y^(2)=8x which makes an angle 45^(@) with the line y = 3x + 5 is

Equation of a tangent to the parabola y^(2)=12x which make an angle of 45^(@) with line y=3x+77 is

Find the slope of the lines which makee an angle of 45^0 with the line x-2y=3

Find the equation of the tangent to the parabola 3y^(2)=8x, parallel to the line x-3y= 5.

On the parabola y^(2)=64x , find the point nearest to the straight line 4x + 3y - 14 = 0.

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The vertex of the parabola y^2 = 8x is at the centre of a circle and t...

    Text Solution

    |

  2. The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t....

    Text Solution

    |

  3. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  4. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  5. The parametric coordinates of a point on the ellipse, whose foci are (...

    Text Solution

    |

  6. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  7. The locus of mid points of parts in between axes and tangents of ellip...

    Text Solution

    |

  8. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

    Text Solution

    |

  9. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

    Text Solution

    |

  10. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  11. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  12. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

    Text Solution

    |

  13. The line lx + my + n = 0 is a normal to (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  14. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  15. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

    Text Solution

    |

  16. The centre of the ellipse 4x^(2) + 9y^(2) + 16 - 18y - 11 = 0 is

    Text Solution

    |

  17. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

    Text Solution

    |

  18. The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 =...

    Text Solution

    |

  19. If the line joining foci subtends an angle of 90^(@) at an extremity ...

    Text Solution

    |

  20. In an ellipse the distance between the foci is 8 and the distance betw...

    Text Solution

    |