Home
Class 12
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

A

`C_1`and `C_2` touch each other only at one point

B

`C_1`and `C_2` touch each other exactly at two points

C

`C_1` and`C_2` intersect (but do not touch) at exactly two points

D

`C_1` and `C_2` neither intersect nor touch each other

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|13 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 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

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  2. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    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. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  7. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  14. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  15. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  18. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  19. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  20. If the normals of the parabola y^(2)=4x drawn at the end points of its...

    Text Solution

    |