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.`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 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

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x): R^+>R^+ is an invertible function such that f'(x)>...

    Text Solution

    |

  2. The expansion of (3x + 2)^(-1/2) is valid in ascending powers of x, if...

    Text Solution

    |

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

    Text Solution

    |

  4. Every two persons shakes hands with each other in a party and the tot...

    Text Solution

    |

  5. Area of figure represented by |x|+|y| <=3 and y^2 <= 4x is a....

    Text Solution

    |

  6. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

    Text Solution

    |

  7. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  8. The tangent at the point P on the rectangular hyperbola x y=k^2 with ...

    Text Solution

    |

  9. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  10. IfIn=int0^(pi/4)tan^n xdx ,(n >1 and is an integer), then In+I(n-2)=1/...

    Text Solution

    |

  11. The number of integer values of m , for which the x-coordinate of the ...

    Text Solution

    |

  12. Tangent and normal to the curve y=2s in x+s in2x are drawn at p(x=pi/3...

    Text Solution

    |

  13. P ,Q have position vectors vec a& vec b relative to the origin ...

    Text Solution

    |

  14. If z1=10+6iandz2=4+2i be two complex numbers and z be a complex number...

    Text Solution

    |

  15. If vec a and vec b are non-zero and non-collinear vectors, then ve...

    Text Solution

    |

  16. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  17. The minimum area of the triangle formed by the tangent to the ellipse ...

    Text Solution

    |

  18. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  19. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  20. The first term of a sequence of numbers is a1=5 . Succeeding terms are...

    Text Solution

    |