Home
Class 11
MATHS
Statement 1: The point of intersection o...

Statement 1: The point of intersection of the tangents at three distinct points `A , B ,a n dC` on the parabola `y^2=4x` can be collinear. Statement 2: If a line `L` does not intersect the parabola `y^2=4x ,` then from every point of the line, two tangents can be drawn to the parabola.

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 point of intersection of the tangents at the ends of the latus rectum of the parabola y^2=4x is_____________

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of tangents drawn at the extremities of a focal chord to the parabola y^2=4ax is the curve

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

The point of intersection of the tangents at t_(1) and t_(2) to the parabola y^(2)=12x is

The tangents at the end points of any chord through (1, 0) to the parabola y^2 + 4x = 8 intersect

The points of contact of the tangents drawn from the point (4, 6) to the parabola y^(2) = 8x

The set of points on the axis of the parabola (y-2)^2=4(x-1/2) from which three distinct normals can be drawn to the parabola are

The set of points on the axis of the parabola y^2 =4ax , from which three distinct normals can be drawn to theparabola y^2 = 4ax , is

Statement I The line y=mx+a/m is tangent to the parabola y^2=4ax for all values of m. Statement II A straight line y=mx+c intersects the parabola y^2=4ax one point is a tangent line.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangents are drawn to the parabola at three distinct points. Prove tha...

    Text Solution

    |

  2. Statement 1: The circumcircle of a triangle formed by the lines x=0...

    Text Solution

    |

  3. Statement 1: The point of intersection of the tangents at three dis...

    Text Solution

    |

  4. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

    Text Solution

    |

  5. Statement 1: Normal chord drawn at the point (8, 8) of the parabola...

    Text Solution

    |

  6. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

    Text Solution

    |

  7. Statement 1: If there exist points on the circle x^2+y^2=a^2 from whic...

    Text Solution

    |

  8. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

    Text Solution

    |

  9. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

    Text Solution

    |

  10. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

    Text Solution

    |

  11. If y=m1x+c and y=m2x+c are two tangents to the parabola y^2+4a(x+a)=...

    Text Solution

    |

  12. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn ...

    Text Solution

    |

  13. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y2=8...

    Text Solution

    |

  14. A line of slope lambda(0 lt lambda lt 1) touches the parabola y+3x^2=...

    Text Solution

    |

  15. If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to...

    Text Solution

    |

  16. The straight lines joining any point P on the parabola y^2=4a x to the...

    Text Solution

    |

  17. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  18. A tangent is drawn to the parabola y^2=4 x at the point P whose abscis...

    Text Solution

    |

  19. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) ...

    Text Solution

    |

  20. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

    Text Solution

    |