Home
Class 12
MATHS
If the line y=x cuts the curve x^3+3y^3-...

If the line `y=x` cuts the curve `x^3+3y^3-30 x y+72 x-55=0` in points `A ,Ba n dC(O` is origin), then the value of `(4sqrt(2))/(55)O AdotO BdotO C` is

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

If the line y = x cuts the curve x^(3) + 3y^(3) - 30xy + 72x - 55 = 0 in points A,B and C, then the value of (4sqrt(2))/(55) OA.OB.OC (where O is the origin), is

If the line y =sqrt(3)x cuts the curve x^3+y^3+3x y+5x^2+3y^2+4x+5y-1=0 at the point A , B , C , then O AdotO BdotO C is equal to (k/(13))(3sqrt(3)-1) . The value of k is______

if the line y=xsqrt3 cuts the curve x^3+y^3+3xy+5x^2+3y^2+4x+5y+1=0 at point A,B,C then find the value of OA.OB.OC is equal to (where O is the origin)

If the tangent the curve y^(2) + 3x - 7 = 0 at the point (h,k) is parallel to the line x - y = 4 , then the value of k is

The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

If the line y = sqrt3x cuts the curve x^4 + ax²y + bxy + 2x + dy + 6 = 0 at A, B, C and D, then value of OA .OB.OC. OD is, (where O is origin) -

If the line y-sqrt(3)x + 3=0 cuts the parabola y^2=x + 2 at A and B, then find the value of PA.PB(where P=(sqrt(3),0)

The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and the lines x=0,x=3/2 and y=0. Then the value of m is

If tangent to the curve y^(2)+3x-7=0 at the point (h,k) is parallel to line x-y=4, then value of k is ___ ?

Find the angle between the curves x^2-(y^2)/3=a^2a n dC_2: x y^3=c

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

    Text Solution

    |

  2. Let a ray of light leaves the point (3, 4) reflects from the y-axis an...

    Text Solution

    |

  3. If the line y=x cuts the curve x^3+3y^3-30 x y+72 x-55=0 in points A ,...

    Text Solution

    |

  4. Find the equation of the bisector of the angle between the lines x+ 2...

    Text Solution

    |

  5. Sum of roots of the equation x^2-2x^2sin^2(pix)/2+1=0 is 0 (b) 2 (...

    Text Solution

    |

  6. DeltaABC is formed by the lines 2x-3y-6=0, 3x-y+3=0 and 3x+4y-12=0. If...

    Text Solution

    |

  7. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  8. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |

  9. If sum of the roots of the quadratic equation, a x^2+b x+c=0 is 12 , ...

    Text Solution

    |

  10. If y= ln 5 (ln 7 x),then (dy)/(dx) =

    Text Solution

    |

  11. The equation of the base of an equilateral triangle is x+y-2=0 and the...

    Text Solution

    |

  12. The radius of a right circular cylinder increases at a constant rate. ...

    Text Solution

    |

  13. If (x1-x2)^2+(y1-y2)^2=144 ,(x2-x3)^2+(y2-y3)^2=25 and (x3-x1)^2+(y3-y...

    Text Solution

    |

  14. A circle with center in the first quadrant is tangent to y = x+10, y =...

    Text Solution

    |

  15. If A , B , C , D are the angles of a quadrilateral, then (tanA+tanB+...

    Text Solution

    |

  16. The point in the interval (0,2pi) where f(x) =e^(x) sinx has maximum ...

    Text Solution

    |

  17. A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n ...

    Text Solution

    |

  18. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

    Text Solution

    |

  19. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  20. Total number of values of ' x ' satisfying the equation, 2^(cos^2x-1)=...

    Text Solution

    |