Home
Class 11
MATHS
The tangents to the parabola y^2=4x at t...

The tangents to the parabola `y^2=4x` at the points (1, 2) and (4,4) meet on which of the following lines? (A) x = 3 (B) y = 3 (C) x + y = 4 (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

x+y=2 and x-y= 2 are tangents on a parabola at (1,1) and (4,2) respectivley. Which of the followings is/are correct.

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of m .

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of mdot

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

The equation of tangent to the circle x^2 + y^2 - 4x = 0 which is perpendicular to the normal drawn through the origin can be : (A) x=0 (B) x=4 (C) x+y=2 (D) none of these

The line y=mx+1 is a tangent to the parabola y^2 = 4x if (A) m=1 (B) m=2 (C) m=4 (D) m=3

if the line 4x +3y +1=0 meets the parabola y^2=8x then the mid point of the chord is

Find the equation of tangent to the parabola y^(2) = 16x which is a) parallel b) and perpendicular to the line 3x - 4y+5=0

Image of ellipse 4x^2 + 9y^2 = 36 in the line y=x is : (A) 9x^2 + 4y^2 = 36 (B) 3x^2 + 2y^2 = 36 (C) 2x^2+3y^2 = 36 (D) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the angle at which the parabolas y^2=4x and x^2=32 y intersect.

    Text Solution

    |

  2. If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at...

    Text Solution

    |

  3. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

    Text Solution

    |

  4. From an external point P , a pair of tangents is drawn to the parabola...

    Text Solution

    |

  5. If the line x+y=a touches the parabola y=x-x^2, then find the value of...

    Text Solution

    |

  6. Find the slopes of the tangents to the parabola y^2=8x which are norma...

    Text Solution

    |

  7. Find the angle between the tangents drawn from (1, 3) to the parabola ...

    Text Solution

    |

  8. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

    Text Solution

    |

  9. The locus of the centre of a circle the touches the given circle exter...

    Text Solution

    |

  10. If on a given base B C , a triangle is described such that the sum of ...

    Text Solution

    |

  11. The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the...

    Text Solution

    |

  12. If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...

    Text Solution

    |

  13. y^2+2y-x+5=0 represents a parabola. Find its vertex, equation of axis,...

    Text Solution

    |

  14. Find the equation of the parabola which has axis parallel to the y-axi...

    Text Solution

    |

  15. Prove that the focal distance of the point (x ,y) on the parabola x^2-...

    Text Solution

    |

  16. Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

    Text Solution

    |

  17. If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...

    Text Solution

    |

  18. From a variable point p on line 2x−y-1=0 pair of tangents are draw...

    Text Solution

    |

  19. The locus of the middle points of the focal chords of the parabola, y^...

    Text Solution

    |

  20. If the distance of the point (alpha,2) from its chord of contact w.r.t...

    Text Solution

    |