Home
Class 11
MATHS
Consider two curves C1:y^2=4x ; C2=x^2+y...

Consider two curves `C1:y^2=4x` ; `C2=x^2+y^2-6x+1=0`. Then, a. C1 and C2 touch each other at one point b. C1 and C2 touch each other exactly at two point c. C1 and C2 intersect(but do not touch) at exactly two point d. C1 and C2 neither intersect nor touch each other

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

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each other externally b.touch each other internally c.intersect at two points d.none of these

Two circles x^2 + y^2 + 2x-4y=0 and x^2 + y^2 - 8y - 4 = 0 (A) touch each other externally (B) intersect each other (C) touch each other internally (D) none of these

The radical axis of two circles having centres at C_(1) and C_(2) and radii r_(1) and r_(2) is neither intersecting nor touching any of the circles, if

Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.

Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 will touch each other at the point (1,0) then (a+b+c)=

The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each other if

If the circles x^2+y^2+2ax+c=0 and x^2+y^2+2by+c=0 touch each other, then find the relation between a, b and c .

Parabola y^2=4a(x-c_1) and x^2=4a(y-c_2) where c_1 and c_2 are variables, touch each other. Locus of their point of contact is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the segment intercepted by the parabola y^2=4a x with the line l x+...

    Text Solution

    |

  2. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the fir...

    Text Solution

    |

  3. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  4. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

    Text Solution

    |

  5. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

    Text Solution

    |

  6. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  7. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  8. A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the para...

    Text Solution

    |

  9. Match the following. Normals are drawn at points P Q and R lying on th...

    Text Solution

    |

  10. Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a...

    Text Solution

    |

  11. If the normals to the parabola y^2=4a x at three points (a p^2,2a p) a...

    Text Solution

    |

  12. Normal AO,AA(1),andAA(2) are drawn to the parabola y^(2)=8x from the p...

    Text Solution

    |

  13. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

    Text Solution

    |

  14. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

    Text Solution

    |

  15. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

    Text Solution

    |

  16. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

    Text Solution

    |

  17. The set of points on the axis of the parabola y^2=4x+8 from which the ...

    Text Solution

    |

  18. Which one of the following equation represent parametric equation to a...

    Text Solution

    |

  19. The vertex of a parabola is the point (a , b) and the latus rectum is ...

    Text Solution

    |

  20. The curve represented by the equation sqrt(p x)+sqrt(q y)=1 where p ,q...

    Text Solution

    |