Home
Class 12
MATHS
Point on the curve y^(2)=4(x-10) which i...

Point on the curve `y^(2)=4(x-10)` which is nearest to the line x + y = 4 may be

A

(11, 2)

B

(10, 0)

C

(11, -2)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - II)|20 Videos

  • PARABOLA

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL - II)|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the line x + y = 3 is _________ .

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 .

If M(x_(0), y_(0)) is the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 then the value of (x_(0)+y_(0)) is equal to

If M(x_(o),y_(o)) is the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 ,then the value of (x_(o)+y_(o)) is equal to (A)3(B)-3(C)9(D)-9

Find the points on the curve 3x^(2)-4y^(2)=72 which is nearest t the line 3x+2y+1=0.

Find the point on the curve y^(2)=4x which is nearest to the point (2;-8)

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

Find the point on the curve y^(2)=4x which is nearest to the point (2,-8)

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. A variable chord PQ of the parabola y=4x^(2) subtends a right angle at...

    Text Solution

    |

  2. P & Q are the points of contact of the tangents drawn from the point T...

    Text Solution

    |

  3. Point on the curve y^(2)=4(x-10) which is nearest to the line x + y = ...

    Text Solution

    |

  4. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

    Text Solution

    |

  5. The equation of the common tangent touching the circle (x-3)^(2)+y^(2)...

    Text Solution

    |

  6. The mirror image of the parabola y^2=4x in the tangent to the parab...

    Text Solution

    |

  7. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  8. If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line...

    Text Solution

    |

  9. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

    Text Solution

    |

  10. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |

  11. The parabola y^2 = 4x and the circle (x-6)^2 + y^2 = r^2 will have no...

    Text Solution

    |

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

    Text Solution

    |

  13. If one end of the diameter of a circle is (3, 4) which touches the x-a...

    Text Solution

    |

  14. The point on the parabola y^(2)=8x whose distance from the focus is 8 ...

    Text Solution

    |

  15. Centre of locus of point of intersection of tangent to y^2 = 4ax, if t...

    Text Solution

    |

  16. Two parabolas y^(2)=4a(x-lamda(1))andx^(2)=4a(y-lamda(2)) always touch...

    Text Solution

    |

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

    Text Solution

    |

  18. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  19. Parabolas (y-alpha)^(2)=4a(x-beta)and(y-alpha)^(2)=4a'(x-beta') will h...

    Text Solution

    |

  20. If the normals at the end points of a variable chord PQ of the parabol...

    Text Solution

    |