Home
Class 11
MATHS
Let C(1)andC(2) be, respectively, the pa...

Let `C_(1)andC_(2)` be, respectively, the parabola `x^(2)=y-1andy^(2)=x-1`.
Also, let P any point on `C_(1)andQ` be any point on `C_(2)`. If `P_(1)andQ_(1)` are the reflections of P and Q, respectively, with respect to the line y=x, then

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is

Let the parabolas y=x(c-x)and y=x^(2)+ax+b touch each other at the point (1,0), then-

let P be the point (1, 0) and Q be a point on the locus y^2= 8x . The locus of the midpoint of PQ is

Find the eccentricity of the hyperbola x^(2) - y^(2) = 1 . If S, S_(1) are the foci and P any point on this hyperbola, prove that, CP^(2) = SP*S_(1)P (C is the origin.)

Consider the parabola y^(2)=4x . Let P and Q be points on the parabola wher P(4,-4)andQ(9,6) . Let R be a point on the area of the parabola between P and Q. Then the area of DeltaPQR is largest when

Let C_(1) and C_(2) denote the centres of the circles x^(2) +y^(2) = 4 and (x -2)^(2) + y^(2) = 1 respectively and let P and Q be their points of intersection. Then the areas of triangles C_(1) PQ and C_(2) PQ are in the ratio _

Let P be the point (1,0) and Q a point on the parabola y^(2) =8x, then the locus of mid-point of bar(PQ is-

The points P(h,k) and Q (k,h) lie on the respective lines 6x-y=1and2x-5y=5 , find the equation of the straight line Pq.

The plane passing through the point (-2,-2,2) and containing the line joining the points (1,1,1,) and (1,-1,2) make intersepts of lengths a,b,c respectively on the axes of x , y and z respectively, then __

y=x is tangent to the parabola y=2ax^(2)+c . If (1,1) is the point of contact, then a is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A circle touches the x-axis and also touches the circle with centre (0...

    Text Solution

    |

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

    Text Solution

    |

  3. Let C(1)andC(2) be, respectively, the parabola x^(2)=y-1andy^(2)=x-1. ...

    Text Solution

    |

  4. If the line y-sqrt(3)x+3=0 cut the parabola y^2=x+2 at P and Q , then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The angle between the tangents drawn from the point (1,4) to the para...

    Text Solution

    |

  8. Statement 1: There are no common tangents between the circle x^2+y^2...

    Text Solution

    |

  9. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  10. C (0,1) is the centre of the circle with radius unity. P is the parabo...

    Text Solution

    |

  11. The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from wh...

    Text Solution

    |

  12. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  13. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

    Text Solution

    |

  14. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  15. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

    Text Solution

    |

  16. t 1 and  t 2 are two points on the parabola y^...

    Text Solution

    |

  17. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

    Text Solution

    |

  18. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  19. The line x-y=1 intersect the parabola y^(2)=4x at A and B. Normals at ...

    Text Solution

    |

  20. If normals drawn from a point P(h,k) to the parabola y^(2)=4ax, then t...

    Text Solution

    |