Home
Class 14
MATHS
The parabola intersects the X-axis at mo...

The parabola intersects the X-axis at most

A

4 times

B

3 times

C

2 times

D

1 time

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

The normals at the extremities of the latus rectum of the parabola intersects the axis at an angle of

The tangent at P( at^2, 2at ) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB is

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

Statement-1: Point of intersection of the tangents drawn to the parabola x^(2)=4y at (4,4) and (-4,4) lies on the y-axis. Statement-2: Tangents drawn at the extremities of the latus rectum of the parabola x^(2)=4y intersect on the axis of the parabola.

The parabola y=x^(2)+px+q intersects the straight line y=2x-3 at a point with abscissa 1. If the distance between the vertex of the parabola nad the X-axis is least, then

y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8x +16 . If two intersection points of the given line and the parabola are A and B such that perpendicular bisector of AB intersects the x-axis at P then length of PS is

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. When the parabola never intersects the X-axis then which of the follow...

    Text Solution

    |

  2. The intersection of X-axis in parabola primarily depends on the value ...

    Text Solution

    |

  3. The parabola intersects the X-axis at most

    Text Solution

    |

  4. For a standard quadratic equation the parabola intersects the Y-axis a...

    Text Solution

    |

  5. If the quadratic graph opens downward, then the roots are always

    Text Solution

    |

  6. If the graph intersects X-axis at two distinct points, then,the roots ...

    Text Solution

    |

  7. If a given quadratic equation is multiplied by -2, now the'parabola wi...

    Text Solution

    |

  8. If the comprehensive graph of quadratic function lies in all the.four ...

    Text Solution

    |

  9. If the graph intersects Y-axis below the X-axis then which of the foll...

    Text Solution

    |

  10. If the quadratic graph intersects both the X and Y axes at the same po...

    Text Solution

    |

  11. If the two real roots are distinct, then which of the following may b...

    Text Solution

    |

  12. The graph of a quadratic equation is symmetrical about X-axis, which o...

    Text Solution

    |

  13. If the roots of a quadratic equation are (4, 10), then what is the dis...

    Text Solution

    |

  14. The distance between K-axis and the axis of symmetry is 4 and one of t...

    Text Solution

    |

  15. Which one of the following is not true for enzymes

    Text Solution

    |

  16. Which one(s) of the following graphs is/are correctly sketched for the...

    Text Solution

    |

  17. If 5/3 and 3 are the two roots of a quadratic equation, then which o...

    Text Solution

    |

  18. If alpha and beta are the roots of the quadratic equation x^2+5x+6=0...

    Text Solution

    |

  19. If alpha and beta are the roots of the quaclratic equation 24x^2+55x-1...

    Text Solution

    |

  20. If sum of the roots is -2 and product of the roots is -15,

    Text Solution

    |