Home
Class 11
MATHS
If normal at point P on the parabola y^2...

If normal at point `P` on the parabola `y^2=4a x ,(a >0),` meets it again at `Q` in such a way that `O Q` is of minimum length, where `O` is the vertex of parabola, then ` O P Q` is
(a)a right angled triangle (b)an obtuse angled triangle (c)an acute angle triangle (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

If in a triangle ABC, tanA+tanB+tanC>0 the triangle is (A) acute angled triangle (B) obtuse angled (C) right angled (D) none of these

The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is (a) an isosceles triangle (b) an obtuse triangle (c) an equilateral triangle (d) a right triangle

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.

Consider the parabola y^(2)=8x, if the normal at a point P on the parabola meets it again at a point Q, then the least distance of Q from the tangent at the vertex of the parabola is

Consider the parabola y^(2)=8x, if the normal at a point P on the parabola meets it again at a point Q, then the least distance of Q from the tangent at the vertex of the parabola is

A triangle whose one angle is more than 90^0 is called (a) a scalene triangle (b) a right triangle (c) an acute triangle (d) an obtuse triangle

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

    Text Solution

    |

  2. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

    Text Solution

    |

  3. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |

  4. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

    Text Solution

    |

  5. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

    Text Solution

    |

  6. Tangent is drawn at any point (p ,q) on the parabola y^2=4a x .Tangent...

    Text Solution

    |

  7. The equation of the directrix of the parabola with vertex at the origi...

    Text Solution

    |

  8. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

    Text Solution

    |

  9. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  10. Statement 1: If the parabola y^2=4a x and the circle x^2+y^2+2b x=0 to...

    Text Solution

    |

  11. If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then th...

    Text Solution

    |

  12. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

    Text Solution

    |

  13. If a and c are the lengths of segments of any focal chord of the parab...

    Text Solution

    |

  14. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

    Text Solution

    |

  15. The set of values of alpha for which the point (alpha,1) lies inside t...

    Text Solution

    |

  16. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  17. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

    Text Solution

    |

  18. The angle between the tangents to the parabola y^2=4a x at the points ...

    Text Solution

    |

  19. The area of the triangle formed by the tangent and the normal to the ...

    Text Solution

    |

  20. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

    Text Solution

    |