Home
Class 11
MATHS
If two tangents drawn from a point P to ...

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

A

x = 1

B

2x+1=0

C

x =-1

D

2x+-1=0.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

The angle between a pair of tangents drawn from a point P to the parabola y^2= 4ax is 45^@ . Show that the locus of the point P is a hyperbola.

Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4ax is :

If m_1,m_2 are the slopes of the two tangents that are drawn from (2,3) to the parabola y^2=4x , then the value of 1/m_1+1/m_2 is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=1 are at right angles then lambda is

The angle between a pair of tangents from a point P to the circle x^2 + y^2 = 25 is pi/3 . Find the equation of the locus of the point P.

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

If two of the three feet of normal drawn from a point to the parabola y^(2)=4x are (1, 2) and (1,-2), then find the third foot.

The equation of tangent in slope form to the the parabola y^2 = 4x 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

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

  2. The circle x^(2)+y^(2d)=4x+8y+5 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A straight line L through the point (3,-2) is incined at an angle 60^...

    Text Solution

    |

  6. The lines x + y =|a| and ax-y= 1 intersect each other in the first qua...

    Text Solution

    |

  7. If A (2, -3) and B (-2, 1) are two vertices of a triangle and third ve...

    Text Solution

    |

  8. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

    Text Solution

    |

  9. The circle passing through the point (-1,0) and touching the Y-axis at...

    Text Solution

    |

  10. Find the equation of the circle passing through (1,0) and (0,1) and h...

    Text Solution

    |

  11. Let (x,y) be any point on the parabola y^2= 4x . Let P be the point th...

    Text Solution

    |

  12. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  13. The equation of the hyperbola whose foci are (- 2, 0) and (2, 0) and e...

    Text Solution

    |

  14. Find the equation of the diagonal through the origin of the quadrilate...

    Text Solution

    |

  15. Show that all chords of the curve 3x^2 -y^2- 2x+ 4y= 0, which subtend ...

    Text Solution

    |

  16. A line is such that its segment between the straight line 5x-y-4=0 and...

    Text Solution

    |

  17. Straight lines : 3x + 4y = 5 and 4x- 3y = 15 intersect at the point A....

    Text Solution

    |

  18. Find the locus of a point whose sum of the distances from the origin a...

    Text Solution

    |

  19. Given vertices A (1, 1), B (4, -2) and C (5, 5) of a triangle, find th...

    Text Solution

    |

  20. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

    Text Solution

    |