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 ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

Find the point on the straight line 2x+3y=6 , which is closest to the origin.

Find the coordinates of the point on the curve y^2=3-4x where tangent is parallel to the line 2x+y-2=0 .

Find the distance of the point on y=x^4+3x^2+2x which is nearest to the line y=2x-1

Find the distance of the point on y=x^4+3x^2+2x which is nearest to the line y=2x-1

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the coordinates the those point on the line 3x+ 2y = 5 which are equisdistant from the lines 4x+ 3y - 7 = 0 and 2y - 5 = 0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |

  2. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

    Text Solution

    |

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

    Text Solution

    |

  4. Every body in a room shakes hands with every body else. The total numb...

    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 C...

    Text Solution

    |

  9. The value of (int0^(pi//2)(sin x)^(sqrt(2)+1)dx)/(int0^(pi//2)(sin x)^...

    Text Solution

    |

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

    Text Solution

    |

  11. If I(n)=int(0)^(pi//4) tan^(n)x dx, (ngt1 is an integer ), then (a) I(...

    Text Solution

    |

  12. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

    Text Solution

    |

  13. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  14. If tangent and normal to the curve y=2sinx+sinx2x are drawn at p(x=(pi...

    Text Solution

    |

  15. P and Q have position vectors a and b relative to the origin O and X,Y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The equation to the chord joining two points (x1,y1)a n d(x2,y2) on th...

    Text Solution

    |

  19. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

    Text Solution

    |

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

    Text Solution

    |