Home
Class 12
MATHS
Find the coordinates of a point on the p...

Find the coordinates of a point on the parabola `y=x^2+7x+2` which is closest to the straight line `y=3x-3.`

A

(-2, -8)

B

(1, 10)

C

(2, 20)

D

(-1, -4)

Text Solution

Verified by Experts

The correct Answer is:
A
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

Find the coordinates of a point of a parabola y=x^(^^)2+7x+2 which is closest to the straight line y=3x-3

The co-ordinates of the point on the parabola y=(x^(2)+10x+3) which is nearest to the straight line y=4x-7 are

Find the point on the parabola y^(2) = 2x which is closest to the point (1, 4)

If P is a point on the parabola y = x^2+ 4 which is closest to the straight line y = 4x – 1, then the co-ordinates of P are :

Find the point on the parabolas x^(2)=2y which is closest to the point (0,5) .

Find the equation of the tangent to the parabola y^(2)=4x+5 which is parallel to the straight line y=2x+7

The point on the line 3x-2y=1 which is closest to the origin is

find the area of the quadrilateral whose vertices lie at the points of interrection of the parabola y=4-x^(2) with the axis and the straight line y=3x

FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. The equation of the common tangent touching the circle (x-3)^(2)+y^(2)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If the chord of contact of tangents from a point P(h, k) to the circle...

    Text Solution

    |

  18. The axis of a parabola is along the line y = x and the distance of its...

    Text Solution

    |

  19. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

    Text Solution

    |

  20. The equation of the line of the shortest distance between the parabola...

    Text Solution

    |