Home
Class 12
MATHS
Find the point on the curve 9y^2=x^3, wh...

Find the point on the curve `9y^2=x^3,` where the normal to the curve makes equal intercepts on the axes.

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve 9y^2=x^3 where normal to the curve makes equal intercepts with the axes.

Find the points on the curve 9y^2=x^3 where normal to the curve makes equal intercepts with the axes.

The point on the curve 9y^2=x^3 , where the normal to the curve makes equal intercepts with the axes is (4,\ +-8//3) (b) (-4,\ 8//3) (c) (-4,\ -8//3) (d) (8//3,\ 4)

The point (s) on the curve 9y^(2) = x^(3) where the normal to the curve makes equal intercepts is/are

If (a,b) be the point on the curve 9y ^(2)=x ^(3) where normal to the curve make equal intercepts with the axis, then the value of (a+b) is:

The abscissa of the point on the curve ay^2 = x^3 , the normal at which cuts off equal intercepts from the coordinate axes is

Find the points on the curve y=x^3 where the slope of the tangent is equal to x-coordinate of the point.

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x- coordinate of the point.

Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x-coordinate of the point.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find whether the following function is differentiable at x = 1 and x...

    Text Solution

    |

  2. If y=(x+sqrt(1+x^2))^n , then show that (1+x^2)(d^2y)/(dx^2)+x(dy)/(d...

    Text Solution

    |

  3. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  4. Find the equation of a plane which passes through the point (3, 2, ...

    Text Solution

    |

  5. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent t...

    Text Solution

    |

  6. Evaluate : int(-pi/2)^(pi/2)(cosx)/(1+e^x)dx

    Text Solution

    |

  7. Evaluate : int(x^2)/((x^2+4)(x^2+9))dx

    Text Solution

    |

  8. Two numbers are selected at random (without replacement) from posit...

    Text Solution

    |

  9. If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then ...

    Text Solution

    |

  10. If A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then f...

    Text Solution

    |

  11. Three machinesE1, E2 and E3 in a certain factory producing electric...

    Text Solution

    |

  12. A shopkeeper has 3 varieties of pens ‘A’, ‘B’ and ‘C’. Meenu purcha...

    Text Solution

    |

  13. Using properties of determinants, show that ABC is isosceles if |(1,1,...

    Text Solution

    |

  14. A trust invested some money in two type of bonds. The first bond pays...

    Text Solution

    |

  15. If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy...

    Text Solution

    |

  16. Find : int(3x+1)sqrt(4-3x-2x^2)dx

    Text Solution

    |

  17. Form the differential equation of the family of circles in the second ...

    Text Solution

    |

  18. Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

    Text Solution

    |

  19. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  20. Evaluate: int(x^2)/(x^4+x^2-2)\ dx

    Text Solution

    |