Home
Class 12
MATHS
Normals of parabola y^(2)=4x at P and Q ...

Normals of parabola `y^(2)=4x` at P and Q meets at `R(x_(2),0)` and tangents at P and Q meets at `T(x_(1),0)`. If `x_(2)=3`, then find the area of quadrilateral PTQR.

A

Statement-1 is true, statement-2 is true, Statement -2 is a correct explanation for Statement -1

B

Statement -1 is true, Statement-2 is true , Statement-2 is NOT a correct explanation for statement-1

C

Statement-1 is true, Statement-2 is False

D

Statement-1 is False, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -F ( Matrix-Match Type Questions )|9 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-G ( Integer Answer Type Questions )|12 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -D|24 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The normal to the parabola y^(2)=4x at P(9, 6) meets the parabola again at Q. If the tangent at Q meets the directrix at R, then the slope of another tangent drawn from point R to this parabola is

Abscissa of two points P and Q on parabola y^(2)=8x are roots of equation x^(2)-17x+11=0 . Let Tangents at P and Q meet at point T, then distance of T from the focus of 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

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF1NF2 is

Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(-4,0) , The area of the quadrilateral PAOB , where O is the origin, is

The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at A and B meet at C. If D CD is normal at D, then the co-ordinates of D are

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -E ( Assertion-Reason Type Questions )
  1. STATEMENT-1 : The equation of chord of circle x^(2) + y^(2) - 6x + 10y...

    Text Solution

    |

  2. STATEMENT -1 : The farthest point on the circle x^(2) + y^(2) - 2x - 4...

    Text Solution

    |

  3. STATEMENT-1 : The agnle between the tangents drawn from the point (6, ...

    Text Solution

    |

  4. STATEMENT-1 : Let x^(2) + y^(2) = a^(2)and x^(2) + y^(2) - 6x - 8y -11...

    Text Solution

    |

  5. STATEMENT-1 : If n circles (n ge 3), no two circles are non-centric an...

    Text Solution

    |

  6. STATEMENT -1 : if O is the origin and OP and OQ are tangents to the ci...

    Text Solution

    |

  7. STATEMENT-1 : From point (4, 0) three different normals can be drawn t...

    Text Solution

    |

  8. Normals of parabola y^(2)=4x at P and Q meets at R(x(2),0) and tangent...

    Text Solution

    |

  9. <b>Statement I: </b>The lines from the vertex to the two extremities o...

    Text Solution

    |

  10. STATEMENT-1 : The length of latus rectum of the parabola (x - y + 2)^(...

    Text Solution

    |

  11. Let S(1) : x^(2) + y^(2) = 25 and S(2) : x^(2) + y^(2) - 2x -2y - 14 =...

    Text Solution

    |

  12. Statement-1 : if P and D be the ends of conjugate diameters then the l...

    Text Solution

    |

  13. STATEMENT-1 : The line y = (b)/(a)x will not meet the hyperbola (x^(2)...

    Text Solution

    |

  14. <b>Statement 1: </b>Lines 3x - 4y + 7 = 0 and 4x + 3y + 8 = 0 are the ...

    Text Solution

    |

  15. Statement-I A hyperbola and its conjugate hyperbola have the same asym...

    Text Solution

    |

  16. STATEMENT-1 : The line 3x + 4y = 5 intersects the hyperbola 9x^(2) - 1...

    Text Solution

    |

  17. STATEMENT-1 : If lines y = m(1)x and y = m(2)x are the conjugate diame...

    Text Solution

    |

  18. STATEMENT-1 : Tangent at any point P(x(1), y(1)) on the hyperbola xy =...

    Text Solution

    |