Home
Class 12
MATHS
Consider a circle with its centre lying ...

Consider a circle with its centre lying on the focus of the parabola, `y^2=2px` such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is:

A

`(p/2,p)`

B

(2p,2p)

C

`(-p/2,p)`

D

`(-p/8,p/2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|27 Videos

  • MOCK TEST 5

    KVPY PREVIOUS YEAR|Exercise EXERCISE|24 Videos

Similar Questions

Explore conceptually related problems

Consider a circle with its centre lying on the focus of the parabola,y^(2)=2px such that it touches the directrix of the parabola.Then a a point of intersection of the circle & the parabola is:

Let a circle touches to the directrix of a parabola y ^(2) = 2ax has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

If a circle drawn with radius 1 unit and whose centre is the focus of the parabola y^(2)=4x touches the parabola at

Intersection of Parabola with Circle

Focus and directrix of the parabola x ^(2) =-8ay are

A circle touches the parabola y^(2)=4x at (1,2) and also touches its directrix.The y- coordinates of the point of contact of the circle and the directrix is-

If (2,0) is the vertex and y-axis the directrix of a parabola then its focus is

If (2,0) is the vertex and y-axis the directrix of a parabola then its focus is

KVPY PREVIOUS YEAR-MOCK TEST 4-EXERCISE
  1. If x and y co-ordinates of any point P are chosen randomly from interv...

    Text Solution

    |

  2. Which of the following result is valid?

    Text Solution

    |

  3. Consider a circle with its centre lying on the focus of the parabola, ...

    Text Solution

    |

  4. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  5. If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r)...

    Text Solution

    |

  6. If (log)2(a+b)+(log)2(c+d)geq4. Then find the minimum value of the exp...

    Text Solution

    |

  7. lf r1 and r2 are the distances of points on the curve 10(ZbarZ)-3i(Z^2...

    Text Solution

    |

  8. Let f be a real valued function satisfying f(x)+f(x+6)=f(x+3)+f(x+9).T...

    Text Solution

    |

  9. If an = sqrt(7+ sqrt( 7+sqrt7+ ....... ))) having n radical signs then...

    Text Solution

    |

  10. Let sum(r=1)^n(r^4) = f(n). Then sum(r =1)^n (2r-1)^4 is equal to :

    Text Solution

    |

  11. A hat contains a number of cards with 30% white on both sides, 50% ...

    Text Solution

    |

  12. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

    Text Solution

    |

  13. The minimum value of px+py when xy=r^(2) is equal to

    Text Solution

    |

  14. Let z1,z2 be two complex numbers represented by points on the circle|z...

    Text Solution

    |

  15. Let A be a set consisting of n elements. The probability of selecting ...

    Text Solution

    |

  16. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

    Text Solution

    |

  17. The general solution of the trigonometric equation sinx+cosx=1 is give...

    Text Solution

    |

  18. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

    Text Solution

    |

  19. The total number of distinct x in (0,1] for which underset(0)overset...

    Text Solution

    |

  20. P(a, b) is a point in the first quadrant Circles are drawn through P t...

    Text Solution

    |