Home
Class 11
MATHS
The triangle PQR of area 'A' is inscribe...

The triangle PQR of area 'A' is inscribed in the parabola `y^2=4ax` such that the vertex P lies at the vertex pf the parabola and base QR is a focal chord.The modulus of the difference of the ordinates of the points Q and R is :

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

An equilateral triangle is inscribed in the parabola y^(2)=4ax whose vertex is at the vertex of the parabola .Find the length of its side.

If an equilateral Delta is inscribed in a parabola y^(2) = 12x with one of the vertex is at the vertex of the parabola then its height is

An equilateral triangle is inscribed in the parabola y^2=4ax whose vertex is at of the parabola. Find the length of its side.

An equilateral trinalge is inscribed in the parabola y^2 = -8x , where one vertex is at the vertex of the parabola. Find the length of the side of the tringle.

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

The vertex or the parabola y = ax^(2)+bx+c is

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

    Text Solution

    |

  2. Two parabola have the same focus. If their directrices are the x-axis ...

    Text Solution

    |

  3. The triangle PQR of area 'A' is inscribed in the parabola y^2=4ax such...

    Text Solution

    |

  4. The length of the chord of the parabola y^2=x which is bisected at th...

    Text Solution

    |

  5. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

    Text Solution

    |

  6. A line is drawn form A(-2,0) to intersect the curve y^2=4x at P and Q ...

    Text Solution

    |

  7. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

    Text Solution

    |

  8. Two mutually perpendicular tangents of the parabola y^2=4a x meet the ...

    Text Solution

    |

  9. Let S be the focus of y^2=4x and a point P be moving on the curve s...

    Text Solution

    |

  10. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

    Text Solution

    |

  11. If y1, y2, y3 be the ordinates of a vertices of the triangle inscr...

    Text Solution

    |

  12. The circle x^2+y^2+2lambdax=0,lambda in R , touches the parabola y^2=...

    Text Solution

    |

  13. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  14. Parabola y^2=4a(x-c1) and x^2=4a(y-c2) , where c1a n dc2 are variable,...

    Text Solution

    |

  15. A circle touches the x-axis and also thouches the circle with center ...

    Text Solution

    |

  16. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  17. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  18. If the liney-sqrt(3)x + 3=0 cuts the parabola y^2=x + 2 at A and B, th...

    Text Solution

    |

  19. The locus of a point on the variable parabola y^2=4a x , whose distan...

    Text Solution

    |

  20. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |